2x+10=5x-23

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


Simplifying
2x + 10 = 5x + -23

Reorder the terms:
10 + 2x = 5x + -23

Reorder the terms:
10 + 2x = -23 + 5x

Solving
10 + 2x = -23 + 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.
10 + 2x + -5x = -23 + 5x + -5x

Combine like terms: 2x + -5x = -3x
10 + -3x = -23 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -3x = -23 + 0
10 + -3x = -23

Add '-10' to each side of the equation.
10 + -10 + -3x = -23 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = -23 + -10
-3x = -23 + -10

Combine like terms: -23 + -10 = -33
-3x = -33

Divide each side by '-3'.
x = 11

Simplifying
x = 11

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