-3(x-4)=2x+7

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Solution for -3(x-4)=2x+7 equation:


Simplifying
-3(x + -4) = 2x + 7

Reorder the terms:
-3(-4 + x) = 2x + 7
(-4 * -3 + x * -3) = 2x + 7
(12 + -3x) = 2x + 7

Reorder the terms:
12 + -3x = 7 + 2x

Solving
12 + -3x = 7 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
12 + -3x + -2x = 7 + 2x + -2x

Combine like terms: -3x + -2x = -5x
12 + -5x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + -5x = 7 + 0
12 + -5x = 7

Add '-12' to each side of the equation.
12 + -12 + -5x = 7 + -12

Combine like terms: 12 + -12 = 0
0 + -5x = 7 + -12
-5x = 7 + -12

Combine like terms: 7 + -12 = -5
-5x = -5

Divide each side by '-5'.
x = 1

Simplifying
x = 1

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