6x+7-13x-1=-8x-1+4x-2

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Solution for 6x+7-13x-1=-8x-1+4x-2 equation:


Simplifying
6x + 7 + -13x + -1 = -8x + -1 + 4x + -2

Reorder the terms:
7 + -1 + 6x + -13x = -8x + -1 + 4x + -2

Combine like terms: 7 + -1 = 6
6 + 6x + -13x = -8x + -1 + 4x + -2

Combine like terms: 6x + -13x = -7x
6 + -7x = -8x + -1 + 4x + -2

Reorder the terms:
6 + -7x = -1 + -2 + -8x + 4x

Combine like terms: -1 + -2 = -3
6 + -7x = -3 + -8x + 4x

Combine like terms: -8x + 4x = -4x
6 + -7x = -3 + -4x

Solving
6 + -7x = -3 + -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.
6 + -7x + 4x = -3 + -4x + 4x

Combine like terms: -7x + 4x = -3x
6 + -3x = -3 + -4x + 4x

Combine like terms: -4x + 4x = 0
6 + -3x = -3 + 0
6 + -3x = -3

Add '-6' to each side of the equation.
6 + -6 + -3x = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -3 + -6
-3x = -3 + -6

Combine like terms: -3 + -6 = -9
-3x = -9

Divide each side by '-3'.
x = 3

Simplifying
x = 3

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