5x+11=2x-7

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Solution for 5x+11=2x-7 equation:


Simplifying
5x + 11 = 2x + -7

Reorder the terms:
11 + 5x = 2x + -7

Reorder the terms:
11 + 5x = -7 + 2x

Solving
11 + 5x = -7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
11 + 5x + -2x = -7 + 2x + -2x

Combine like terms: 5x + -2x = 3x
11 + 3x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
11 + 3x = -7 + 0
11 + 3x = -7

Add '-11' to each side of the equation.
11 + -11 + 3x = -7 + -11

Combine like terms: 11 + -11 = 0
0 + 3x = -7 + -11
3x = -7 + -11

Combine like terms: -7 + -11 = -18
3x = -18

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

Simplifying
x = -6

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