3(x+5)-5x+15(x+7)=117

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Solution for 3(x+5)-5x+15(x+7)=117 equation:


Simplifying
3(x + 5) + -5x + 15(x + 7) = 117

Reorder the terms:
3(5 + x) + -5x + 15(x + 7) = 117
(5 * 3 + x * 3) + -5x + 15(x + 7) = 117
(15 + 3x) + -5x + 15(x + 7) = 117

Reorder the terms:
15 + 3x + -5x + 15(7 + x) = 117
15 + 3x + -5x + (7 * 15 + x * 15) = 117
15 + 3x + -5x + (105 + 15x) = 117

Reorder the terms:
15 + 105 + 3x + -5x + 15x = 117

Combine like terms: 15 + 105 = 120
120 + 3x + -5x + 15x = 117

Combine like terms: 3x + -5x = -2x
120 + -2x + 15x = 117

Combine like terms: -2x + 15x = 13x
120 + 13x = 117

Solving
120 + 13x = 117

Solving for variable 'x'.

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

Add '-120' to each side of the equation.
120 + -120 + 13x = 117 + -120

Combine like terms: 120 + -120 = 0
0 + 13x = 117 + -120
13x = 117 + -120

Combine like terms: 117 + -120 = -3
13x = -3

Divide each side by '13'.
x = -0.2307692308

Simplifying
x = -0.2307692308

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