3(2x+13)+7x-2=5x-11

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Solution for 3(2x+13)+7x-2=5x-11 equation:


Simplifying
3(2x + 13) + 7x + -2 = 5x + -11

Reorder the terms:
3(13 + 2x) + 7x + -2 = 5x + -11
(13 * 3 + 2x * 3) + 7x + -2 = 5x + -11
(39 + 6x) + 7x + -2 = 5x + -11

Reorder the terms:
39 + -2 + 6x + 7x = 5x + -11

Combine like terms: 39 + -2 = 37
37 + 6x + 7x = 5x + -11

Combine like terms: 6x + 7x = 13x
37 + 13x = 5x + -11

Reorder the terms:
37 + 13x = -11 + 5x

Solving
37 + 13x = -11 + 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.
37 + 13x + -5x = -11 + 5x + -5x

Combine like terms: 13x + -5x = 8x
37 + 8x = -11 + 5x + -5x

Combine like terms: 5x + -5x = 0
37 + 8x = -11 + 0
37 + 8x = -11

Add '-37' to each side of the equation.
37 + -37 + 8x = -11 + -37

Combine like terms: 37 + -37 = 0
0 + 8x = -11 + -37
8x = -11 + -37

Combine like terms: -11 + -37 = -48
8x = -48

Divide each side by '8'.
x = -6

Simplifying
x = -6

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