2(x-3)-30=20-5x

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Solution for 2(x-3)-30=20-5x equation:


Simplifying
2(x + -3) + -30 = 20 + -5x

Reorder the terms:
2(-3 + x) + -30 = 20 + -5x
(-3 * 2 + x * 2) + -30 = 20 + -5x
(-6 + 2x) + -30 = 20 + -5x

Reorder the terms:
-6 + -30 + 2x = 20 + -5x

Combine like terms: -6 + -30 = -36
-36 + 2x = 20 + -5x

Solving
-36 + 2x = 20 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-36 + 2x + 5x = 20 + -5x + 5x

Combine like terms: 2x + 5x = 7x
-36 + 7x = 20 + -5x + 5x

Combine like terms: -5x + 5x = 0
-36 + 7x = 20 + 0
-36 + 7x = 20

Add '36' to each side of the equation.
-36 + 36 + 7x = 20 + 36

Combine like terms: -36 + 36 = 0
0 + 7x = 20 + 36
7x = 20 + 36

Combine like terms: 20 + 36 = 56
7x = 56

Divide each side by '7'.
x = 8

Simplifying
x = 8

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