(5x-18)+(3x-40)+90=180

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Solution for (5x-18)+(3x-40)+90=180 equation:


Simplifying
(5x + -18) + (3x + -40) + 90 = 180

Reorder the terms:
(-18 + 5x) + (3x + -40) + 90 = 180

Remove parenthesis around (-18 + 5x)
-18 + 5x + (3x + -40) + 90 = 180

Reorder the terms:
-18 + 5x + (-40 + 3x) + 90 = 180

Remove parenthesis around (-40 + 3x)
-18 + 5x + -40 + 3x + 90 = 180

Reorder the terms:
-18 + -40 + 90 + 5x + 3x = 180

Combine like terms: -18 + -40 = -58
-58 + 90 + 5x + 3x = 180

Combine like terms: -58 + 90 = 32
32 + 5x + 3x = 180

Combine like terms: 5x + 3x = 8x
32 + 8x = 180

Solving
32 + 8x = 180

Solving for variable 'x'.

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

Add '-32' to each side of the equation.
32 + -32 + 8x = 180 + -32

Combine like terms: 32 + -32 = 0
0 + 8x = 180 + -32
8x = 180 + -32

Combine like terms: 180 + -32 = 148
8x = 148

Divide each side by '8'.
x = 18.5

Simplifying
x = 18.5

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