[2(x+10)]=(3x-30)

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


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

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

Remove brackets around [20 + 2x]
20 + 2x = (3x + -30)

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

Remove parenthesis around (-30 + 3x)
20 + 2x = -30 + 3x

Solving
20 + 2x = -30 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
20 + 2x + -3x = -30 + 3x + -3x

Combine like terms: 2x + -3x = -1x
20 + -1x = -30 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + -1x = -30 + 0
20 + -1x = -30

Add '-20' to each side of the equation.
20 + -20 + -1x = -30 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = -30 + -20
-1x = -30 + -20

Combine like terms: -30 + -20 = -50
-1x = -50

Divide each side by '-1'.
x = 50

Simplifying
x = 50

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