(8x-46)+(10x-8)=180

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Solution for (8x-46)+(10x-8)=180 equation:


Simplifying
(8x + -46) + (10x + -8) = 180

Reorder the terms:
(-46 + 8x) + (10x + -8) = 180

Remove parenthesis around (-46 + 8x)
-46 + 8x + (10x + -8) = 180

Reorder the terms:
-46 + 8x + (-8 + 10x) = 180

Remove parenthesis around (-8 + 10x)
-46 + 8x + -8 + 10x = 180

Reorder the terms:
-46 + -8 + 8x + 10x = 180

Combine like terms: -46 + -8 = -54
-54 + 8x + 10x = 180

Combine like terms: 8x + 10x = 18x
-54 + 18x = 180

Solving
-54 + 18x = 180

Solving for variable 'x'.

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

Add '54' to each side of the equation.
-54 + 54 + 18x = 180 + 54

Combine like terms: -54 + 54 = 0
0 + 18x = 180 + 54
18x = 180 + 54

Combine like terms: 180 + 54 = 234
18x = 234

Divide each side by '18'.
x = 13

Simplifying
x = 13

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