6(x-5)=18-2x

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Solution for 6(x-5)=18-2x equation:


Simplifying
6(x + -5) = 18 + -2x

Reorder the terms:
6(-5 + x) = 18 + -2x
(-5 * 6 + x * 6) = 18 + -2x
(-30 + 6x) = 18 + -2x

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

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

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

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

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

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

Divide each side by '8'.
x = 6

Simplifying
x = 6

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