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

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


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

Reorder the terms:
2(6 + x) + -3x = 3(x + -5) + 11
(6 * 2 + x * 2) + -3x = 3(x + -5) + 11
(12 + 2x) + -3x = 3(x + -5) + 11

Combine like terms: 2x + -3x = -1x
12 + -1x = 3(x + -5) + 11

Reorder the terms:
12 + -1x = 3(-5 + x) + 11
12 + -1x = (-5 * 3 + x * 3) + 11
12 + -1x = (-15 + 3x) + 11

Reorder the terms:
12 + -1x = -15 + 11 + 3x

Combine like terms: -15 + 11 = -4
12 + -1x = -4 + 3x

Solving
12 + -1x = -4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
12 + -1x + -3x = -4 + 3x + -3x

Combine like terms: -1x + -3x = -4x
12 + -4x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + -4x = -4 + 0
12 + -4x = -4

Add '-12' to each side of the equation.
12 + -12 + -4x = -4 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = -4 + -12
-4x = -4 + -12

Combine like terms: -4 + -12 = -16
-4x = -16

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

Simplifying
x = 4

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