13=5(x-3)-8

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Solution for 13=5(x-3)-8 equation:


Simplifying
13 = 5(x + -3) + -8

Reorder the terms:
13 = 5(-3 + x) + -8
13 = (-3 * 5 + x * 5) + -8
13 = (-15 + 5x) + -8

Reorder the terms:
13 = -15 + -8 + 5x

Combine like terms: -15 + -8 = -23
13 = -23 + 5x

Solving
13 = -23 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
13 + -5x = -23 + 5x + -5x

Combine like terms: 5x + -5x = 0
13 + -5x = -23 + 0
13 + -5x = -23

Add '-13' to each side of the equation.
13 + -13 + -5x = -23 + -13

Combine like terms: 13 + -13 = 0
0 + -5x = -23 + -13
-5x = -23 + -13

Combine like terms: -23 + -13 = -36
-5x = -36

Divide each side by '-5'.
x = 7.2

Simplifying
x = 7.2

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