5x+11=10x-9

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Solution for 5x+11=10x-9 equation:


Simplifying
5x + 11 = 10x + -9

Reorder the terms:
11 + 5x = 10x + -9

Reorder the terms:
11 + 5x = -9 + 10x

Solving
11 + 5x = -9 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
11 + 5x + -10x = -9 + 10x + -10x

Combine like terms: 5x + -10x = -5x
11 + -5x = -9 + 10x + -10x

Combine like terms: 10x + -10x = 0
11 + -5x = -9 + 0
11 + -5x = -9

Add '-11' to each side of the equation.
11 + -11 + -5x = -9 + -11

Combine like terms: 11 + -11 = 0
0 + -5x = -9 + -11
-5x = -9 + -11

Combine like terms: -9 + -11 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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