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

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


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

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

Reorder the terms:
-30 + 2x = -2(-3 + x)
-30 + 2x = (-3 * -2 + x * -2)
-30 + 2x = (6 + -2x)

Solving
-30 + 2x = 6 + -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 + 2x + 2x = 6 + -2x + 2x

Combine like terms: 2x + 2x = 4x
-30 + 4x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-30 + 4x = 6 + 0
-30 + 4x = 6

Add '30' to each side of the equation.
-30 + 30 + 4x = 6 + 30

Combine like terms: -30 + 30 = 0
0 + 4x = 6 + 30
4x = 6 + 30

Combine like terms: 6 + 30 = 36
4x = 36

Divide each side by '4'.
x = 9

Simplifying
x = 9

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