5(x-6)=18-3x

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Solution for 5(x-6)=18-3x equation:


Simplifying
5(x + -6) = 18 + -3x

Reorder the terms:
5(-6 + x) = 18 + -3x
(-6 * 5 + x * 5) = 18 + -3x
(-30 + 5x) = 18 + -3x

Solving
-30 + 5x = 18 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-30 + 5x + 3x = 18 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-30 + 8x = 18 + -3x + 3x

Combine like terms: -3x + 3x = 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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