Here is an equation. 2( x + 12) = 4x - 6. a) solve the equation by first multiplying out the brackets.
b) solve the equation by first dividing both sides by 2.

a

Step-by-step explanation:

always distribute first.

Let's solve your equation step-by-step.

2 ( x+12 ) = 4x − 6

Step 1: Simplify both sides of the equation.

2 (x+12) = 4x − 6

(2) (x) + (2) (12) = 4x + −6 (Distribute)

2x + 24 = 4x + −6

2x + 24 = 4x − 6

Step 2: Subtract 4x from both sides.

2x + 24 − 4 x = 4x − 6 − 4x

−2x + 24 = −6

Step 3: Subtract 24 from both sides.

−2x + 24 − 24 = −6 −24

−2x = −30

Step 4: Divide both sides by -2.

−2x  / −2  =  −30  / −2

x=15

x=15

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