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

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


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

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

Reorder the terms:
4 + 6x = 4(-1 + 2x)
4 + 6x = (-1 * 4 + 2x * 4)
4 + 6x = (-4 + 8x)

Solving
4 + 6x = -4 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
4 + 6x + -8x = -4 + 8x + -8x

Combine like terms: 6x + -8x = -2x
4 + -2x = -4 + 8x + -8x

Combine like terms: 8x + -8x = 0
4 + -2x = -4 + 0
4 + -2x = -4

Add '-4' to each side of the equation.
4 + -4 + -2x = -4 + -4

Combine like terms: 4 + -4 = 0
0 + -2x = -4 + -4
-2x = -4 + -4

Combine like terms: -4 + -4 = -8
-2x = -8

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

Simplifying
x = 4

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