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

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


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

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

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

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

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

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

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

Combine like terms: 4x + x = 5x
10 + 5x + 5x = 180

Combine like terms: 5x + 5x = 10x
10 + 10x = 180

Solving
10 + 10x = 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 + 10x = 180 + -10

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

Combine like terms: 180 + -10 = 170
10x = 170

Divide each side by '10'.
x = 17

Simplifying
x = 17

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