30-(3x)=2(x-50)

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Solution for 30-(3x)=2(x-50) equation:


Simplifying
30 + -1(3x) = 2(x + -50)

Remove parenthesis around (3x)
30 + -1 * 3x = 2(x + -50)

Multiply -1 * 3
30 + -3x = 2(x + -50)

Reorder the terms:
30 + -3x = 2(-50 + x)
30 + -3x = (-50 * 2 + x * 2)
30 + -3x = (-100 + 2x)

Solving
30 + -3x = -100 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
30 + -3x + -2x = -100 + 2x + -2x

Combine like terms: -3x + -2x = -5x
30 + -5x = -100 + 2x + -2x

Combine like terms: 2x + -2x = 0
30 + -5x = -100 + 0
30 + -5x = -100

Add '-30' to each side of the equation.
30 + -30 + -5x = -100 + -30

Combine like terms: 30 + -30 = 0
0 + -5x = -100 + -30
-5x = -100 + -30

Combine like terms: -100 + -30 = -130
-5x = -130

Divide each side by '-5'.
x = 26

Simplifying
x = 26

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