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

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


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

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

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

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

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

Combine like terms: 6x + -6x = 0
12 + 2x = -8 + 0
12 + 2x = -8

Add '-12' to each side of the equation.
12 + -12 + 2x = -8 + -12

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

Combine like terms: -8 + -12 = -20
2x = -20

Divide each side by '2'.
x = -10

Simplifying
x = -10

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