10x+69=23x-100

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Solution for 10x+69=23x-100 equation:


Simplifying
10x + 69 = 23x + -100

Reorder the terms:
69 + 10x = 23x + -100

Reorder the terms:
69 + 10x = -100 + 23x

Solving
69 + 10x = -100 + 23x

Solving for variable 'x'.

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

Add '-23x' to each side of the equation.
69 + 10x + -23x = -100 + 23x + -23x

Combine like terms: 10x + -23x = -13x
69 + -13x = -100 + 23x + -23x

Combine like terms: 23x + -23x = 0
69 + -13x = -100 + 0
69 + -13x = -100

Add '-69' to each side of the equation.
69 + -69 + -13x = -100 + -69

Combine like terms: 69 + -69 = 0
0 + -13x = -100 + -69
-13x = -100 + -69

Combine like terms: -100 + -69 = -169
-13x = -169

Divide each side by '-13'.
x = 13

Simplifying
x = 13

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