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

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Solution for 6(x-3)=-2x+30 equation:


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

Reorder the terms:
6(-3 + x) = -2x + 30
(-3 * 6 + x * 6) = -2x + 30
(-18 + 6x) = -2x + 30

Reorder the terms:
-18 + 6x = 30 + -2x

Solving
-18 + 6x = 30 + -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.
-18 + 6x + 2x = 30 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-18 + 8x = 30 + -2x + 2x

Combine like terms: -2x + 2x = 0
-18 + 8x = 30 + 0
-18 + 8x = 30

Add '18' to each side of the equation.
-18 + 18 + 8x = 30 + 18

Combine like terms: -18 + 18 = 0
0 + 8x = 30 + 18
8x = 30 + 18

Combine like terms: 30 + 18 = 48
8x = 48

Divide each side by '8'.
x = 6

Simplifying
x = 6

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