3(6x+2)=7x-5

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Solution for 3(6x+2)=7x-5 equation:


Simplifying
3(6x + 2) = 7x + -5

Reorder the terms:
3(2 + 6x) = 7x + -5
(2 * 3 + 6x * 3) = 7x + -5
(6 + 18x) = 7x + -5

Reorder the terms:
6 + 18x = -5 + 7x

Solving
6 + 18x = -5 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
6 + 18x + -7x = -5 + 7x + -7x

Combine like terms: 18x + -7x = 11x
6 + 11x = -5 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + 11x = -5 + 0
6 + 11x = -5

Add '-6' to each side of the equation.
6 + -6 + 11x = -5 + -6

Combine like terms: 6 + -6 = 0
0 + 11x = -5 + -6
11x = -5 + -6

Combine like terms: -5 + -6 = -11
11x = -11

Divide each side by '11'.
x = -1

Simplifying
x = -1

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