3(4x+2)=5x-1

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Solution for 3(4x+2)=5x-1 equation:


Simplifying
3(4x + 2) = 5x + -1

Reorder the terms:
3(2 + 4x) = 5x + -1
(2 * 3 + 4x * 3) = 5x + -1
(6 + 12x) = 5x + -1

Reorder the terms:
6 + 12x = -1 + 5x

Solving
6 + 12x = -1 + 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.
6 + 12x + -5x = -1 + 5x + -5x

Combine like terms: 12x + -5x = 7x
6 + 7x = -1 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + 7x = -1 + 0
6 + 7x = -1

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

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

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

Divide each side by '7'.
x = -1

Simplifying
x = -1

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