(7x-1)+(7x-8)+(5x+2)=180

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Solution for (7x-1)+(7x-8)+(5x+2)=180 equation:


Simplifying
(7x + -1) + (7x + -8) + (5x + 2) = 180

Reorder the terms:
(-1 + 7x) + (7x + -8) + (5x + 2) = 180

Remove parenthesis around (-1 + 7x)
-1 + 7x + (7x + -8) + (5x + 2) = 180

Reorder the terms:
-1 + 7x + (-8 + 7x) + (5x + 2) = 180

Remove parenthesis around (-8 + 7x)
-1 + 7x + -8 + 7x + (5x + 2) = 180

Reorder the terms:
-1 + 7x + -8 + 7x + (2 + 5x) = 180

Remove parenthesis around (2 + 5x)
-1 + 7x + -8 + 7x + 2 + 5x = 180

Reorder the terms:
-1 + -8 + 2 + 7x + 7x + 5x = 180

Combine like terms: -1 + -8 = -9
-9 + 2 + 7x + 7x + 5x = 180

Combine like terms: -9 + 2 = -7
-7 + 7x + 7x + 5x = 180

Combine like terms: 7x + 7x = 14x
-7 + 14x + 5x = 180

Combine like terms: 14x + 5x = 19x
-7 + 19x = 180

Solving
-7 + 19x = 180

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 19x = 180 + 7

Combine like terms: -7 + 7 = 0
0 + 19x = 180 + 7
19x = 180 + 7

Combine like terms: 180 + 7 = 187
19x = 187

Divide each side by '19'.
x = 9.842105263

Simplifying
x = 9.842105263

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