2x+11=5x-10

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Solution for 2x+11=5x-10 equation:


Simplifying
2x + 11 = 5x + -10

Reorder the terms:
11 + 2x = 5x + -10

Reorder the terms:
11 + 2x = -10 + 5x

Solving
11 + 2x = -10 + 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.
11 + 2x + -5x = -10 + 5x + -5x

Combine like terms: 2x + -5x = -3x
11 + -3x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
11 + -3x = -10 + 0
11 + -3x = -10

Add '-11' to each side of the equation.
11 + -11 + -3x = -10 + -11

Combine like terms: 11 + -11 = 0
0 + -3x = -10 + -11
-3x = -10 + -11

Combine like terms: -10 + -11 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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