-7x+8+x+2+3x-5=2x-(6x-4)

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Solution for -7x+8+x+2+3x-5=2x-(6x-4) equation:


Simplifying
-7x + 8 + x + 2 + 3x + -5 = 2x + -1(6x + -4)

Reorder the terms:
8 + 2 + -5 + -7x + x + 3x = 2x + -1(6x + -4)

Combine like terms: 8 + 2 = 10
10 + -5 + -7x + x + 3x = 2x + -1(6x + -4)

Combine like terms: 10 + -5 = 5
5 + -7x + x + 3x = 2x + -1(6x + -4)

Combine like terms: -7x + x = -6x
5 + -6x + 3x = 2x + -1(6x + -4)

Combine like terms: -6x + 3x = -3x
5 + -3x = 2x + -1(6x + -4)

Reorder the terms:
5 + -3x = 2x + -1(-4 + 6x)
5 + -3x = 2x + (-4 * -1 + 6x * -1)
5 + -3x = 2x + (4 + -6x)

Reorder the terms:
5 + -3x = 4 + 2x + -6x

Combine like terms: 2x + -6x = -4x
5 + -3x = 4 + -4x

Solving
5 + -3x = 4 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
5 + -3x + 4x = 4 + -4x + 4x

Combine like terms: -3x + 4x = 1x
5 + 1x = 4 + -4x + 4x

Combine like terms: -4x + 4x = 0
5 + 1x = 4 + 0
5 + 1x = 4

Add '-5' to each side of the equation.
5 + -5 + 1x = 4 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = 4 + -5
1x = 4 + -5

Combine like terms: 4 + -5 = -1
1x = -1

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

Simplifying
x = -1

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