13-(x+8)=6x-2

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Solution for 13-(x+8)=6x-2 equation:


Simplifying
13 + -1(x + 8) = 6x + -2

Reorder the terms:
13 + -1(8 + x) = 6x + -2
13 + (8 * -1 + x * -1) = 6x + -2
13 + (-8 + -1x) = 6x + -2

Combine like terms: 13 + -8 = 5
5 + -1x = 6x + -2

Reorder the terms:
5 + -1x = -2 + 6x

Solving
5 + -1x = -2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
5 + -1x + -6x = -2 + 6x + -6x

Combine like terms: -1x + -6x = -7x
5 + -7x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
5 + -7x = -2 + 0
5 + -7x = -2

Add '-5' to each side of the equation.
5 + -5 + -7x = -2 + -5

Combine like terms: 5 + -5 = 0
0 + -7x = -2 + -5
-7x = -2 + -5

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

Divide each side by '-7'.
x = 1

Simplifying
x = 1

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