12-(5-2x)=2(8-3x)-(2-7x)

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Solution for 12-(5-2x)=2(8-3x)-(2-7x) equation:


Simplifying
12 + -1(5 + -2x) = 2(8 + -3x) + -1(2 + -7x)
12 + (5 * -1 + -2x * -1) = 2(8 + -3x) + -1(2 + -7x)
12 + (-5 + 2x) = 2(8 + -3x) + -1(2 + -7x)

Combine like terms: 12 + -5 = 7
7 + 2x = 2(8 + -3x) + -1(2 + -7x)
7 + 2x = (8 * 2 + -3x * 2) + -1(2 + -7x)
7 + 2x = (16 + -6x) + -1(2 + -7x)
7 + 2x = 16 + -6x + (2 * -1 + -7x * -1)
7 + 2x = 16 + -6x + (-2 + 7x)

Reorder the terms:
7 + 2x = 16 + -2 + -6x + 7x

Combine like terms: 16 + -2 = 14
7 + 2x = 14 + -6x + 7x

Combine like terms: -6x + 7x = 1x
7 + 2x = 14 + 1x

Solving
7 + 2x = 14 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
7 + 2x + -1x = 14 + 1x + -1x

Combine like terms: 2x + -1x = 1x
7 + 1x = 14 + 1x + -1x

Combine like terms: 1x + -1x = 0
7 + 1x = 14 + 0
7 + 1x = 14

Add '-7' to each side of the equation.
7 + -7 + 1x = 14 + -7

Combine like terms: 7 + -7 = 0
0 + 1x = 14 + -7
1x = 14 + -7

Combine like terms: 14 + -7 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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