11+2(x-9)=3(x+1)-5

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Solution for 11+2(x-9)=3(x+1)-5 equation: 


Simplifying
11 + 2(x + -9) = 3(x + 1) + -5

Reorder the terms:
11 + 2(-9 + x) = 3(x + 1) + -5
11 + (-9 * 2 + x * 2) = 3(x + 1) + -5
11 + (-18 + 2x) = 3(x + 1) + -5

Combine like terms: 11 + -18 = -7
-7 + 2x = 3(x + 1) + -5

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

Reorder the terms:
-7 + 2x = 3 + -5 + 3x

Combine like terms: 3 + -5 = -2
-7 + 2x = -2 + 3x

Solving
-7 + 2x = -2 + 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.
-7 + 2x + -3x = -2 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-7 + -1x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-7 + -1x = -2 + 0
-7 + -1x = -2

Add '7' to each side of the equation.
-7 + 7 + -1x = -2 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = -2 + 7
-1x = -2 + 7

Combine like terms: -2 + 7 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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