-2(x-10)=-3(3x-30)

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Solution for -2(x-10)=-3(3x-30) equation:


Simplifying
-2(x + -10) = -3(3x + -30)

Reorder the terms:
-2(-10 + x) = -3(3x + -30)
(-10 * -2 + x * -2) = -3(3x + -30)
(20 + -2x) = -3(3x + -30)

Reorder the terms:
20 + -2x = -3(-30 + 3x)
20 + -2x = (-30 * -3 + 3x * -3)
20 + -2x = (90 + -9x)

Solving
20 + -2x = 90 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
20 + -2x + 9x = 90 + -9x + 9x

Combine like terms: -2x + 9x = 7x
20 + 7x = 90 + -9x + 9x

Combine like terms: -9x + 9x = 0
20 + 7x = 90 + 0
20 + 7x = 90

Add '-20' to each side of the equation.
20 + -20 + 7x = 90 + -20

Combine like terms: 20 + -20 = 0
0 + 7x = 90 + -20
7x = 90 + -20

Combine like terms: 90 + -20 = 70
7x = 70

Divide each side by '7'.
x = 10

Simplifying
x = 10

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