23-(2x+10)=5x-22

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Solution for 23-(2x+10)=5x-22 equation:


Simplifying
23 + -1(2x + 10) = 5x + -22

Reorder the terms:
23 + -1(10 + 2x) = 5x + -22
23 + (10 * -1 + 2x * -1) = 5x + -22
23 + (-10 + -2x) = 5x + -22

Combine like terms: 23 + -10 = 13
13 + -2x = 5x + -22

Reorder the terms:
13 + -2x = -22 + 5x

Solving
13 + -2x = -22 + 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.
13 + -2x + -5x = -22 + 5x + -5x

Combine like terms: -2x + -5x = -7x
13 + -7x = -22 + 5x + -5x

Combine like terms: 5x + -5x = 0
13 + -7x = -22 + 0
13 + -7x = -22

Add '-13' to each side of the equation.
13 + -13 + -7x = -22 + -13

Combine like terms: 13 + -13 = 0
0 + -7x = -22 + -13
-7x = -22 + -13

Combine like terms: -22 + -13 = -35
-7x = -35

Divide each side by '-7'.
x = 5

Simplifying
x = 5

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