13x-7(2x-3)+2(x-4)=2-(x-3)

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Solution for 13x-7(2x-3)+2(x-4)=2-(x-3) equation:


Simplifying
13x + -7(2x + -3) + 2(x + -4) = 2 + -1(x + -3)

Reorder the terms:
13x + -7(-3 + 2x) + 2(x + -4) = 2 + -1(x + -3)
13x + (-3 * -7 + 2x * -7) + 2(x + -4) = 2 + -1(x + -3)
13x + (21 + -14x) + 2(x + -4) = 2 + -1(x + -3)

Reorder the terms:
13x + 21 + -14x + 2(-4 + x) = 2 + -1(x + -3)
13x + 21 + -14x + (-4 * 2 + x * 2) = 2 + -1(x + -3)
13x + 21 + -14x + (-8 + 2x) = 2 + -1(x + -3)

Reorder the terms:
21 + -8 + 13x + -14x + 2x = 2 + -1(x + -3)

Combine like terms: 21 + -8 = 13
13 + 13x + -14x + 2x = 2 + -1(x + -3)

Combine like terms: 13x + -14x = -1x
13 + -1x + 2x = 2 + -1(x + -3)

Combine like terms: -1x + 2x = 1x
13 + 1x = 2 + -1(x + -3)

Reorder the terms:
13 + 1x = 2 + -1(-3 + x)
13 + 1x = 2 + (-3 * -1 + x * -1)
13 + 1x = 2 + (3 + -1x)

Combine like terms: 2 + 3 = 5
13 + 1x = 5 + -1x

Solving
13 + 1x = 5 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
13 + 1x + x = 5 + -1x + x

Combine like terms: 1x + x = 2x
13 + 2x = 5 + -1x + x

Combine like terms: -1x + x = 0
13 + 2x = 5 + 0
13 + 2x = 5

Add '-13' to each side of the equation.
13 + -13 + 2x = 5 + -13

Combine like terms: 13 + -13 = 0
0 + 2x = 5 + -13
2x = 5 + -13

Combine like terms: 5 + -13 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4

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