6(3x+2)=17x-18x

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Solution for 6(3x+2)=17x-18x equation:


Simplifying
6(3x + 2) = 17x + -18x

Reorder the terms:
6(2 + 3x) = 17x + -18x
(2 * 6 + 3x * 6) = 17x + -18x
(12 + 18x) = 17x + -18x

Combine like terms: 17x + -18x = -1x
12 + 18x = -1x

Solving
12 + 18x = -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
12 + 18x + x = -1x + x

Combine like terms: 18x + x = 19x
12 + 19x = -1x + x

Combine like terms: -1x + x = 0
12 + 19x = 0

Add '-12' to each side of the equation.
12 + -12 + 19x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 19x = 0 + -12
19x = 0 + -12

Combine like terms: 0 + -12 = -12
19x = -12

Divide each side by '19'.
x = -0.6315789474

Simplifying
x = -0.6315789474

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