5(2x+7)-3(3x-8)=9x-2(3x-5)+13

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Solution for 5(2x+7)-3(3x-8)=9x-2(3x-5)+13 equation:


Simplifying
5(2x + 7) + -3(3x + -8) = 9x + -2(3x + -5) + 13

Reorder the terms:
5(7 + 2x) + -3(3x + -8) = 9x + -2(3x + -5) + 13
(7 * 5 + 2x * 5) + -3(3x + -8) = 9x + -2(3x + -5) + 13
(35 + 10x) + -3(3x + -8) = 9x + -2(3x + -5) + 13

Reorder the terms:
35 + 10x + -3(-8 + 3x) = 9x + -2(3x + -5) + 13
35 + 10x + (-8 * -3 + 3x * -3) = 9x + -2(3x + -5) + 13
35 + 10x + (24 + -9x) = 9x + -2(3x + -5) + 13

Reorder the terms:
35 + 24 + 10x + -9x = 9x + -2(3x + -5) + 13

Combine like terms: 35 + 24 = 59
59 + 10x + -9x = 9x + -2(3x + -5) + 13

Combine like terms: 10x + -9x = 1x
59 + 1x = 9x + -2(3x + -5) + 13

Reorder the terms:
59 + 1x = 9x + -2(-5 + 3x) + 13
59 + 1x = 9x + (-5 * -2 + 3x * -2) + 13
59 + 1x = 9x + (10 + -6x) + 13

Reorder the terms:
59 + 1x = 10 + 13 + 9x + -6x

Combine like terms: 10 + 13 = 23
59 + 1x = 23 + 9x + -6x

Combine like terms: 9x + -6x = 3x
59 + 1x = 23 + 3x

Solving
59 + 1x = 23 + 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.
59 + 1x + -3x = 23 + 3x + -3x

Combine like terms: 1x + -3x = -2x
59 + -2x = 23 + 3x + -3x

Combine like terms: 3x + -3x = 0
59 + -2x = 23 + 0
59 + -2x = 23

Add '-59' to each side of the equation.
59 + -59 + -2x = 23 + -59

Combine like terms: 59 + -59 = 0
0 + -2x = 23 + -59
-2x = 23 + -59

Combine like terms: 23 + -59 = -36
-2x = -36

Divide each side by '-2'.
x = 18

Simplifying
x = 18

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