(5x-6)+(14x-4)=180

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Solution for (5x-6)+(14x-4)=180 equation:


Simplifying
(5x + -6) + (14x + -4) = 180

Reorder the terms:
(-6 + 5x) + (14x + -4) = 180

Remove parenthesis around (-6 + 5x)
-6 + 5x + (14x + -4) = 180

Reorder the terms:
-6 + 5x + (-4 + 14x) = 180

Remove parenthesis around (-4 + 14x)
-6 + 5x + -4 + 14x = 180

Reorder the terms:
-6 + -4 + 5x + 14x = 180

Combine like terms: -6 + -4 = -10
-10 + 5x + 14x = 180

Combine like terms: 5x + 14x = 19x
-10 + 19x = 180

Solving
-10 + 19x = 180

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 19x = 180 + 10

Combine like terms: -10 + 10 = 0
0 + 19x = 180 + 10
19x = 180 + 10

Combine like terms: 180 + 10 = 190
19x = 190

Divide each side by '19'.
x = 10

Simplifying
x = 10

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