3x-8=13(8-x)

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


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

Reorder the terms:
-8 + 3x = 13(8 + -1x)
-8 + 3x = (8 * 13 + -1x * 13)
-8 + 3x = (104 + -13x)

Solving
-8 + 3x = 104 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
-8 + 3x + 13x = 104 + -13x + 13x

Combine like terms: 3x + 13x = 16x
-8 + 16x = 104 + -13x + 13x

Combine like terms: -13x + 13x = 0
-8 + 16x = 104 + 0
-8 + 16x = 104

Add '8' to each side of the equation.
-8 + 8 + 16x = 104 + 8

Combine like terms: -8 + 8 = 0
0 + 16x = 104 + 8
16x = 104 + 8

Combine like terms: 104 + 8 = 112
16x = 112

Divide each side by '16'.
x = 7

Simplifying
x = 7

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