2(4x-4)-(x-8)=3(4x+2)-7x+10

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Solution for 2(4x-4)-(x-8)=3(4x+2)-7x+10 equation:


Simplifying
2(4x + -4) + -1(x + -8) = 3(4x + 2) + -7x + 10

Reorder the terms:
2(-4 + 4x) + -1(x + -8) = 3(4x + 2) + -7x + 10
(-4 * 2 + 4x * 2) + -1(x + -8) = 3(4x + 2) + -7x + 10
(-8 + 8x) + -1(x + -8) = 3(4x + 2) + -7x + 10

Reorder the terms:
-8 + 8x + -1(-8 + x) = 3(4x + 2) + -7x + 10
-8 + 8x + (-8 * -1 + x * -1) = 3(4x + 2) + -7x + 10
-8 + 8x + (8 + -1x) = 3(4x + 2) + -7x + 10

Reorder the terms:
-8 + 8 + 8x + -1x = 3(4x + 2) + -7x + 10

Combine like terms: -8 + 8 = 0
0 + 8x + -1x = 3(4x + 2) + -7x + 10
8x + -1x = 3(4x + 2) + -7x + 10

Combine like terms: 8x + -1x = 7x
7x = 3(4x + 2) + -7x + 10

Reorder the terms:
7x = 3(2 + 4x) + -7x + 10
7x = (2 * 3 + 4x * 3) + -7x + 10
7x = (6 + 12x) + -7x + 10

Reorder the terms:
7x = 6 + 10 + 12x + -7x

Combine like terms: 6 + 10 = 16
7x = 16 + 12x + -7x

Combine like terms: 12x + -7x = 5x
7x = 16 + 5x

Solving
7x = 16 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
7x + -5x = 16 + 5x + -5x

Combine like terms: 7x + -5x = 2x
2x = 16 + 5x + -5x

Combine like terms: 5x + -5x = 0
2x = 16 + 0
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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