3x-5x-12=7x-8+23

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Solution for 3x-5x-12=7x-8+23 equation:


Simplifying
3x + -5x + -12 = 7x + -8 + 23

Reorder the terms:
-12 + 3x + -5x = 7x + -8 + 23

Combine like terms: 3x + -5x = -2x
-12 + -2x = 7x + -8 + 23

Reorder the terms:
-12 + -2x = -8 + 23 + 7x

Combine like terms: -8 + 23 = 15
-12 + -2x = 15 + 7x

Solving
-12 + -2x = 15 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-12 + -2x + -7x = 15 + 7x + -7x

Combine like terms: -2x + -7x = -9x
-12 + -9x = 15 + 7x + -7x

Combine like terms: 7x + -7x = 0
-12 + -9x = 15 + 0
-12 + -9x = 15

Add '12' to each side of the equation.
-12 + 12 + -9x = 15 + 12

Combine like terms: -12 + 12 = 0
0 + -9x = 15 + 12
-9x = 15 + 12

Combine like terms: 15 + 12 = 27
-9x = 27

Divide each side by '-9'.
x = -3

Simplifying
x = -3

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