x=(2x-10)+(5x-20)

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Solution for x=(2x-10)+(5x-20) equation:


Simplifying
x = (2x + -10) + (5x + -20)

Reorder the terms:
x = (-10 + 2x) + (5x + -20)

Remove parenthesis around (-10 + 2x)
x = -10 + 2x + (5x + -20)

Reorder the terms:
x = -10 + 2x + (-20 + 5x)

Remove parenthesis around (-20 + 5x)
x = -10 + 2x + -20 + 5x

Reorder the terms:
x = -10 + -20 + 2x + 5x

Combine like terms: -10 + -20 = -30
x = -30 + 2x + 5x

Combine like terms: 2x + 5x = 7x
x = -30 + 7x

Solving
x = -30 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
x + -7x = -30 + 7x + -7x

Combine like terms: x + -7x = -6x
-6x = -30 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6x = -30 + 0
-6x = -30

Divide each side by '-6'.
x = 5

Simplifying
x = 5

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