An equation is shown below:

9(3x – 16) + 15 = 6x – 24

part a: write the steps you will use to solve the equation, and explain each step.

part b: what value of x makes the equation true?

Part A: You first multiply 9 to 3x and minus 16. Then add 15 to -144. After that add 129 to both sides and subtract 6x from both sides. Divide both sides by 21 to get x my itself. You get x=5.

9(3x-16)+15=6x-24

27x-144+15 = 6x-24

27x-129 = 6x-24

27x -129+129 = 6x -24 +129

27x = 6x +105

27x - 6x =6x-6x 105

21x = 105

21x/21 = 105/21

x = 5

Part b: the value of x is 5

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

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step-by-step explanation: