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

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


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

Reorder the terms:
2(3 + 4x) = 3(2x + -2)
(3 * 2 + 4x * 2) = 3(2x + -2)
(6 + 8x) = 3(2x + -2)

Reorder the terms:
6 + 8x = 3(-2 + 2x)
6 + 8x = (-2 * 3 + 2x * 3)
6 + 8x = (-6 + 6x)

Solving
6 + 8x = -6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
6 + 8x + -6x = -6 + 6x + -6x

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

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

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

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

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

Divide each side by '2'.
x = -6

Simplifying
x = -6

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