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

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


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

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

Reorder the terms:
2 + 6x = 4(-3 + 2x)
2 + 6x = (-3 * 4 + 2x * 4)
2 + 6x = (-12 + 8x)

Solving
2 + 6x = -12 + 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.
2 + 6x + -8x = -12 + 8x + -8x

Combine like terms: 6x + -8x = -2x
2 + -2x = -12 + 8x + -8x

Combine like terms: 8x + -8x = 0
2 + -2x = -12 + 0
2 + -2x = -12

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

Combine like terms: 2 + -2 = 0
0 + -2x = -12 + -2
-2x = -12 + -2

Combine like terms: -12 + -2 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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