6(x+2)+15=2(x+6)+11

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Solution for 6(x+2)+15=2(x+6)+11 equation: 


Simplifying
6(x + 2) + 15 = 2(x + 6) + 11

Reorder the terms:
6(2 + x) + 15 = 2(x + 6) + 11
(2 * 6 + x * 6) + 15 = 2(x + 6) + 11
(12 + 6x) + 15 = 2(x + 6) + 11

Reorder the terms:
12 + 15 + 6x = 2(x + 6) + 11

Combine like terms: 12 + 15 = 27
27 + 6x = 2(x + 6) + 11

Reorder the terms:
27 + 6x = 2(6 + x) + 11
27 + 6x = (6 * 2 + x * 2) + 11
27 + 6x = (12 + 2x) + 11

Reorder the terms:
27 + 6x = 12 + 11 + 2x

Combine like terms: 12 + 11 = 23
27 + 6x = 23 + 2x

Solving
27 + 6x = 23 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
27 + 6x + -2x = 23 + 2x + -2x

Combine like terms: 6x + -2x = 4x
27 + 4x = 23 + 2x + -2x

Combine like terms: 2x + -2x = 0
27 + 4x = 23 + 0
27 + 4x = 23

Add '-27' to each side of the equation.
27 + -27 + 4x = 23 + -27

Combine like terms: 27 + -27 = 0
0 + 4x = 23 + -27
4x = 23 + -27

Combine like terms: 23 + -27 = -4
4x = -4

Divide each side by '4'.
x = -1

Simplifying
x = -1

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