x+(x-50)+(x-50)*3=180

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Solution for x+(x-50)+(x-50)*3=180 equation:


Simplifying
x + (x + -50) + (x + -50) * 3 = 180

Reorder the terms:
x + (-50 + x) + (x + -50) * 3 = 180

Remove parenthesis around (-50 + x)
x + -50 + x + (x + -50) * 3 = 180

Reorder the terms:
x + -50 + x + (-50 + x) * 3 = 180

Reorder the terms for easier multiplication:
x + -50 + x + 3(-50 + x) = 180
x + -50 + x + (-50 * 3 + x * 3) = 180
x + -50 + x + (-150 + 3x) = 180

Reorder the terms:
-50 + -150 + x + x + 3x = 180

Combine like terms: -50 + -150 = -200
-200 + x + x + 3x = 180

Combine like terms: x + x = 2x
-200 + 2x + 3x = 180

Combine like terms: 2x + 3x = 5x
-200 + 5x = 180

Solving
-200 + 5x = 180

Solving for variable 'x'.

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

Add '200' to each side of the equation.
-200 + 200 + 5x = 180 + 200

Combine like terms: -200 + 200 = 0
0 + 5x = 180 + 200
5x = 180 + 200

Combine like terms: 180 + 200 = 380
5x = 380

Divide each side by '5'.
x = 76

Simplifying
x = 76

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