5(2x-3)-x+8=13

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Solution for 5(2x-3)-x+8=13 equation:


Simplifying
5(2x + -3) + -1x + 8 = 13

Reorder the terms:
5(-3 + 2x) + -1x + 8 = 13
(-3 * 5 + 2x * 5) + -1x + 8 = 13
(-15 + 10x) + -1x + 8 = 13

Reorder the terms:
-15 + 8 + 10x + -1x = 13

Combine like terms: -15 + 8 = -7
-7 + 10x + -1x = 13

Combine like terms: 10x + -1x = 9x
-7 + 9x = 13

Solving
-7 + 9x = 13

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 9x = 13 + 7

Combine like terms: -7 + 7 = 0
0 + 9x = 13 + 7
9x = 13 + 7

Combine like terms: 13 + 7 = 20
9x = 20

Divide each side by '9'.
x = 2.222222222

Simplifying
x = 2.222222222

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