6(3x+1)=17x-7

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Solution for 6(3x+1)=17x-7 equation:


Simplifying
6(3x + 1) = 17x + -7

Reorder the terms:
6(1 + 3x) = 17x + -7
(1 * 6 + 3x * 6) = 17x + -7
(6 + 18x) = 17x + -7

Reorder the terms:
6 + 18x = -7 + 17x

Solving
6 + 18x = -7 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
6 + 18x + -17x = -7 + 17x + -17x

Combine like terms: 18x + -17x = 1x
6 + 1x = -7 + 17x + -17x

Combine like terms: 17x + -17x = 0
6 + 1x = -7 + 0
6 + 1x = -7

Add '-6' to each side of the equation.
6 + -6 + 1x = -7 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = -7 + -6
1x = -7 + -6

Combine like terms: -7 + -6 = -13
1x = -13

Divide each side by '1'.
x = -13

Simplifying
x = -13

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