3x+23=5x-7

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Solution for 3x+23=5x-7 equation:


Simplifying
3x + 23 = 5x + -7

Reorder the terms:
23 + 3x = 5x + -7

Reorder the terms:
23 + 3x = -7 + 5x

Solving
23 + 3x = -7 + 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.
23 + 3x + -5x = -7 + 5x + -5x

Combine like terms: 3x + -5x = -2x
23 + -2x = -7 + 5x + -5x

Combine like terms: 5x + -5x = 0
23 + -2x = -7 + 0
23 + -2x = -7

Add '-23' to each side of the equation.
23 + -23 + -2x = -7 + -23

Combine like terms: 23 + -23 = 0
0 + -2x = -7 + -23
-2x = -7 + -23

Combine like terms: -7 + -23 = -30
-2x = -30

Divide each side by '-2'.
x = 15

Simplifying
x = 15

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