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

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


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

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

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

Remove parenthesis around (-4 + 3x)
12 + 8x = -4 + 3x

Solving
12 + 8x = -4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
12 + 8x + -3x = -4 + 3x + -3x

Combine like terms: 8x + -3x = 5x
12 + 5x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + 5x = -4 + 0
12 + 5x = -4

Add '-12' to each side of the equation.
12 + -12 + 5x = -4 + -12

Combine like terms: 12 + -12 = 0
0 + 5x = -4 + -12
5x = -4 + -12

Combine like terms: -4 + -12 = -16
5x = -16

Divide each side by '5'.
x = -3.2

Simplifying
x = -3.2

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