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

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


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

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

Reorder the terms:
6 + 12x = 2(-1 + 5x)
6 + 12x = (-1 * 2 + 5x * 2)
6 + 12x = (-2 + 10x)

Solving
6 + 12x = -2 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
6 + 12x + -10x = -2 + 10x + -10x

Combine like terms: 12x + -10x = 2x
6 + 2x = -2 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + 2x = -2 + 0
6 + 2x = -2

Add '-6' to each side of the equation.
6 + -6 + 2x = -2 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = -2 + -6
2x = -2 + -6

Combine like terms: -2 + -6 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4

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