-5x+3(2x-4)=7x-2(5x-4)+12

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Solution for -5x+3(2x-4)=7x-2(5x-4)+12 equation:


Simplifying
-5x + 3(2x + -4) = 7x + -2(5x + -4) + 12

Reorder the terms:
-5x + 3(-4 + 2x) = 7x + -2(5x + -4) + 12
-5x + (-4 * 3 + 2x * 3) = 7x + -2(5x + -4) + 12
-5x + (-12 + 6x) = 7x + -2(5x + -4) + 12

Reorder the terms:
-12 + -5x + 6x = 7x + -2(5x + -4) + 12

Combine like terms: -5x + 6x = 1x
-12 + 1x = 7x + -2(5x + -4) + 12

Reorder the terms:
-12 + 1x = 7x + -2(-4 + 5x) + 12
-12 + 1x = 7x + (-4 * -2 + 5x * -2) + 12
-12 + 1x = 7x + (8 + -10x) + 12

Reorder the terms:
-12 + 1x = 8 + 12 + 7x + -10x

Combine like terms: 8 + 12 = 20
-12 + 1x = 20 + 7x + -10x

Combine like terms: 7x + -10x = -3x
-12 + 1x = 20 + -3x

Solving
-12 + 1x = 20 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-12 + 1x + 3x = 20 + -3x + 3x

Combine like terms: 1x + 3x = 4x
-12 + 4x = 20 + -3x + 3x

Combine like terms: -3x + 3x = 0
-12 + 4x = 20 + 0
-12 + 4x = 20

Add '12' to each side of the equation.
-12 + 12 + 4x = 20 + 12

Combine like terms: -12 + 12 = 0
0 + 4x = 20 + 12
4x = 20 + 12

Combine like terms: 20 + 12 = 32
4x = 32

Divide each side by '4'.
x = 8

Simplifying
x = 8

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