(8x+5)+(10x-23)=180

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Solution for (8x+5)+(10x-23)=180 equation:


Simplifying
(8x + 5) + (10x + -23) = 180

Reorder the terms:
(5 + 8x) + (10x + -23) = 180

Remove parenthesis around (5 + 8x)
5 + 8x + (10x + -23) = 180

Reorder the terms:
5 + 8x + (-23 + 10x) = 180

Remove parenthesis around (-23 + 10x)
5 + 8x + -23 + 10x = 180

Reorder the terms:
5 + -23 + 8x + 10x = 180

Combine like terms: 5 + -23 = -18
-18 + 8x + 10x = 180

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

Solving
-18 + 18x = 180

Solving for variable 'x'.

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

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

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

Combine like terms: 180 + 18 = 198
18x = 198

Divide each side by '18'.
x = 11

Simplifying
x = 11

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