10x+5=22x-23

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


Simplifying
10x + 5 = 22x + -23

Reorder the terms:
5 + 10x = 22x + -23

Reorder the terms:
5 + 10x = -23 + 22x

Solving
5 + 10x = -23 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
5 + 10x + -22x = -23 + 22x + -22x

Combine like terms: 10x + -22x = -12x
5 + -12x = -23 + 22x + -22x

Combine like terms: 22x + -22x = 0
5 + -12x = -23 + 0
5 + -12x = -23

Add '-5' to each side of the equation.
5 + -5 + -12x = -23 + -5

Combine like terms: 5 + -5 = 0
0 + -12x = -23 + -5
-12x = -23 + -5

Combine like terms: -23 + -5 = -28
-12x = -28

Divide each side by '-12'.
x = 2.333333333

Simplifying
x = 2.333333333

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