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

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


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

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

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

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

Reorder the terms:
-2 + -2 + 2x + 5x + 2x = 180

Combine like terms: -2 + -2 = -4
-4 + 2x + 5x + 2x = 180

Combine like terms: 2x + 5x = 7x
-4 + 7x + 2x = 180

Combine like terms: 7x + 2x = 9x
-4 + 9x = 180

Solving
-4 + 9x = 180

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 9x = 180 + 4

Combine like terms: -4 + 4 = 0
0 + 9x = 180 + 4
9x = 180 + 4

Combine like terms: 180 + 4 = 184
9x = 184

Divide each side by '9'.
x = 20.44444444

Simplifying
x = 20.44444444

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