6x+23=15x-22

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Solution for 6x+23=15x-22 equation:


Simplifying
6x + 23 = 15x + -22

Reorder the terms:
23 + 6x = 15x + -22

Reorder the terms:
23 + 6x = -22 + 15x

Solving
23 + 6x = -22 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
23 + 6x + -15x = -22 + 15x + -15x

Combine like terms: 6x + -15x = -9x
23 + -9x = -22 + 15x + -15x

Combine like terms: 15x + -15x = 0
23 + -9x = -22 + 0
23 + -9x = -22

Add '-23' to each side of the equation.
23 + -23 + -9x = -22 + -23

Combine like terms: 23 + -23 = 0
0 + -9x = -22 + -23
-9x = -22 + -23

Combine like terms: -22 + -23 = -45
-9x = -45

Divide each side by '-9'.
x = 5

Simplifying
x = 5

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