3(x+5)-5x+15(x+7)=211

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Solution for 3(x+5)-5x+15(x+7)=211 equation: 


Simplifying
3(x + 5) + -5x + 15(x + 7) = 211

Reorder the terms:
3(5 + x) + -5x + 15(x + 7) = 211
(5 * 3 + x * 3) + -5x + 15(x + 7) = 211
(15 + 3x) + -5x + 15(x + 7) = 211

Reorder the terms:
15 + 3x + -5x + 15(7 + x) = 211
15 + 3x + -5x + (7 * 15 + x * 15) = 211
15 + 3x + -5x + (105 + 15x) = 211

Reorder the terms:
15 + 105 + 3x + -5x + 15x = 211

Combine like terms: 15 + 105 = 120
120 + 3x + -5x + 15x = 211

Combine like terms: 3x + -5x = -2x
120 + -2x + 15x = 211

Combine like terms: -2x + 15x = 13x
120 + 13x = 211

Solving
120 + 13x = 211

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 = 211 + -120

Combine like terms: 120 + -120 = 0
0 + 13x = 211 + -120
13x = 211 + -120

Combine like terms: 211 + -120 = 91
13x = 91

Divide each side by '13'.
x = 7

Simplifying
x = 7

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