x+5+2x+11=4x-2

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Solution for x+5+2x+11=4x-2 equation:


Simplifying
x + 5 + 2x + 11 = 4x + -2

Reorder the terms:
5 + 11 + x + 2x = 4x + -2

Combine like terms: 5 + 11 = 16
16 + x + 2x = 4x + -2

Combine like terms: x + 2x = 3x
16 + 3x = 4x + -2

Reorder the terms:
16 + 3x = -2 + 4x

Solving
16 + 3x = -2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
16 + 3x + -4x = -2 + 4x + -4x

Combine like terms: 3x + -4x = -1x
16 + -1x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
16 + -1x = -2 + 0
16 + -1x = -2

Add '-16' to each side of the equation.
16 + -16 + -1x = -2 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = -2 + -16
-1x = -2 + -16

Combine like terms: -2 + -16 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18

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