17 - 5(2x - 9) = -(-6x + 10) + 4

x = 4.25

Step-by-step explanation:

1. distribue the -5 on the left side of the equal sign by multiplying it with 2x and -9 inside the brackets. Do the same with the negative sign and the -6x and 10 in the brackets on the right side of the equation. this should make:

17 - 10x + 45 = 6x - 10 + 4

2. Combine like terms on both sides of the equal sign. Add 17 and 45, and add -10 and 4 to make:

62 - 10x = 6x - 6

3. Bring like terms onto the same side. You can either bring the 62 to -6, which would make 62 negative, or bring -6 to 62, making the 6 positive. Do the same with -10x and 6x. It should make:

68 = 16x OR -68 = -16x

4. Divide both sides by 16 or -16, depending on which option you went with.

68/16 = 16x/16 OR -68/-16 = -16x/-16

This gives:

4.25 = x

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: