3(2x-6)=18+5(x-2)

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Solution for 3(2x-6)=18+5(x-2) equation:


Simplifying
3(2x + -6) = 18 + 5(x + -2)

Reorder the terms:
3(-6 + 2x) = 18 + 5(x + -2)
(-6 * 3 + 2x * 3) = 18 + 5(x + -2)
(-18 + 6x) = 18 + 5(x + -2)

Reorder the terms:
-18 + 6x = 18 + 5(-2 + x)
-18 + 6x = 18 + (-2 * 5 + x * 5)
-18 + 6x = 18 + (-10 + 5x)

Combine like terms: 18 + -10 = 8
-18 + 6x = 8 + 5x

Solving
-18 + 6x = 8 + 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.
-18 + 6x + -5x = 8 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-18 + 1x = 8 + 5x + -5x

Combine like terms: 5x + -5x = 0
-18 + 1x = 8 + 0
-18 + 1x = 8

Add '18' to each side of the equation.
-18 + 18 + 1x = 8 + 18

Combine like terms: -18 + 18 = 0
0 + 1x = 8 + 18
1x = 8 + 18

Combine like terms: 8 + 18 = 26
1x = 26

Divide each side by '1'.
x = 26

Simplifying
x = 26

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