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

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


Simplifying
2(5 + -1x) = 3(x + 1) + -2x + -11
(5 * 2 + -1x * 2) = 3(x + 1) + -2x + -11
(10 + -2x) = 3(x + 1) + -2x + -11

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

Reorder the terms:
10 + -2x = 3 + -11 + 3x + -2x

Combine like terms: 3 + -11 = -8
10 + -2x = -8 + 3x + -2x

Combine like terms: 3x + -2x = 1x
10 + -2x = -8 + 1x

Solving
10 + -2x = -8 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
10 + -2x + -1x = -8 + 1x + -1x

Combine like terms: -2x + -1x = -3x
10 + -3x = -8 + 1x + -1x

Combine like terms: 1x + -1x = 0
10 + -3x = -8 + 0
10 + -3x = -8

Add '-10' to each side of the equation.
10 + -10 + -3x = -8 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = -8 + -10
-3x = -8 + -10

Combine like terms: -8 + -10 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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