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

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


Simplifying
x + 11 + 3x + 1 = 5x + -2

Reorder the terms:
11 + 1 + x + 3x = 5x + -2

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

Combine like terms: x + 3x = 4x
12 + 4x = 5x + -2

Reorder the terms:
12 + 4x = -2 + 5x

Solving
12 + 4x = -2 + 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.
12 + 4x + -5x = -2 + 5x + -5x

Combine like terms: 4x + -5x = -1x
12 + -1x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + -1x = -2 + 0
12 + -1x = -2

Add '-12' to each side of the equation.
12 + -12 + -1x = -2 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = -2 + -12
-1x = -2 + -12

Combine like terms: -2 + -12 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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