3(6x-3)-8=31+2x

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Solution for 3(6x-3)-8=31+2x equation:


Simplifying
3(6x + -3) + -8 = 31 + 2x

Reorder the terms:
3(-3 + 6x) + -8 = 31 + 2x
(-3 * 3 + 6x * 3) + -8 = 31 + 2x
(-9 + 18x) + -8 = 31 + 2x

Reorder the terms:
-9 + -8 + 18x = 31 + 2x

Combine like terms: -9 + -8 = -17
-17 + 18x = 31 + 2x

Solving
-17 + 18x = 31 + 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.
-17 + 18x + -2x = 31 + 2x + -2x

Combine like terms: 18x + -2x = 16x
-17 + 16x = 31 + 2x + -2x

Combine like terms: 2x + -2x = 0
-17 + 16x = 31 + 0
-17 + 16x = 31

Add '17' to each side of the equation.
-17 + 17 + 16x = 31 + 17

Combine like terms: -17 + 17 = 0
0 + 16x = 31 + 17
16x = 31 + 17

Combine like terms: 31 + 17 = 48
16x = 48

Divide each side by '16'.
x = 3

Simplifying
x = 3

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