5x-10=180-8x+34

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Solution for 5x-10=180-8x+34 equation:


Simplifying
5x + -10 = 180 + -8x + 34

Reorder the terms:
-10 + 5x = 180 + -8x + 34

Reorder the terms:
-10 + 5x = 180 + 34 + -8x

Combine like terms: 180 + 34 = 214
-10 + 5x = 214 + -8x

Solving
-10 + 5x = 214 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-10 + 5x + 8x = 214 + -8x + 8x

Combine like terms: 5x + 8x = 13x
-10 + 13x = 214 + -8x + 8x

Combine like terms: -8x + 8x = 0
-10 + 13x = 214 + 0
-10 + 13x = 214

Add '10' to each side of the equation.
-10 + 10 + 13x = 214 + 10

Combine like terms: -10 + 10 = 0
0 + 13x = 214 + 10
13x = 214 + 10

Combine like terms: 214 + 10 = 224
13x = 224

Divide each side by '13'.
x = 17.23076923

Simplifying
x = 17.23076923

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