(5x-14)+(3x+34)=180

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Solution for (5x-14)+(3x+34)=180 equation:


Simplifying
(5x + -14) + (3x + 34) = 180

Reorder the terms:
(-14 + 5x) + (3x + 34) = 180

Remove parenthesis around (-14 + 5x)
-14 + 5x + (3x + 34) = 180

Reorder the terms:
-14 + 5x + (34 + 3x) = 180

Remove parenthesis around (34 + 3x)
-14 + 5x + 34 + 3x = 180

Reorder the terms:
-14 + 34 + 5x + 3x = 180

Combine like terms: -14 + 34 = 20
20 + 5x + 3x = 180

Combine like terms: 5x + 3x = 8x
20 + 8x = 180

Solving
20 + 8x = 180

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + 8x = 180 + -20

Combine like terms: 20 + -20 = 0
0 + 8x = 180 + -20
8x = 180 + -20

Combine like terms: 180 + -20 = 160
8x = 160

Divide each side by '8'.
x = 20

Simplifying
x = 20

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