6x-8=13-3(2-x)

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Solution for 6x-8=13-3(2-x) equation:


Simplifying
6x + -8 = 13 + -3(2 + -1x)

Reorder the terms:
-8 + 6x = 13 + -3(2 + -1x)
-8 + 6x = 13 + (2 * -3 + -1x * -3)
-8 + 6x = 13 + (-6 + 3x)

Combine like terms: 13 + -6 = 7
-8 + 6x = 7 + 3x

Solving
-8 + 6x = 7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-8 + 6x + -3x = 7 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-8 + 3x = 7 + 0
-8 + 3x = 7

Add '8' to each side of the equation.
-8 + 8 + 3x = 7 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = 7 + 8
3x = 7 + 8

Combine like terms: 7 + 8 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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