5(2x+7)-6(3x+1)=2(3x+1)-x+11

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Solution for 5(2x+7)-6(3x+1)=2(3x+1)-x+11 equation: 


Simplifying
5(2x + 7) + -6(3x + 1) = 2(3x + 1) + -1x + 11

Reorder the terms:
5(7 + 2x) + -6(3x + 1) = 2(3x + 1) + -1x + 11
(7 * 5 + 2x * 5) + -6(3x + 1) = 2(3x + 1) + -1x + 11
(35 + 10x) + -6(3x + 1) = 2(3x + 1) + -1x + 11

Reorder the terms:
35 + 10x + -6(1 + 3x) = 2(3x + 1) + -1x + 11
35 + 10x + (1 * -6 + 3x * -6) = 2(3x + 1) + -1x + 11
35 + 10x + (-6 + -18x) = 2(3x + 1) + -1x + 11

Reorder the terms:
35 + -6 + 10x + -18x = 2(3x + 1) + -1x + 11

Combine like terms: 35 + -6 = 29
29 + 10x + -18x = 2(3x + 1) + -1x + 11

Combine like terms: 10x + -18x = -8x
29 + -8x = 2(3x + 1) + -1x + 11

Reorder the terms:
29 + -8x = 2(1 + 3x) + -1x + 11
29 + -8x = (1 * 2 + 3x * 2) + -1x + 11
29 + -8x = (2 + 6x) + -1x + 11

Reorder the terms:
29 + -8x = 2 + 11 + 6x + -1x

Combine like terms: 2 + 11 = 13
29 + -8x = 13 + 6x + -1x

Combine like terms: 6x + -1x = 5x
29 + -8x = 13 + 5x

Solving
29 + -8x = 13 + 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.
29 + -8x + -5x = 13 + 5x + -5x

Combine like terms: -8x + -5x = -13x
29 + -13x = 13 + 5x + -5x

Combine like terms: 5x + -5x = 0
29 + -13x = 13 + 0
29 + -13x = 13

Add '-29' to each side of the equation.
29 + -29 + -13x = 13 + -29

Combine like terms: 29 + -29 = 0
0 + -13x = 13 + -29
-13x = 13 + -29

Combine like terms: 13 + -29 = -16
-13x = -16

Divide each side by '-13'.
x = 1.230769231

Simplifying
x = 1.230769231

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