3x+4=-3(4x-8)

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Solution for 3x+4=-3(4x-8) equation: 


Simplifying
3x + 4 = -3(4x + -8)

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

Reorder the terms:
4 + 3x = -3(-8 + 4x)
4 + 3x = (-8 * -3 + 4x * -3)
4 + 3x = (24 + -12x)

Solving
4 + 3x = 24 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
4 + 3x + 12x = 24 + -12x + 12x

Combine like terms: 3x + 12x = 15x
4 + 15x = 24 + -12x + 12x

Combine like terms: -12x + 12x = 0
4 + 15x = 24 + 0
4 + 15x = 24

Add '-4' to each side of the equation.
4 + -4 + 15x = 24 + -4

Combine like terms: 4 + -4 = 0
0 + 15x = 24 + -4
15x = 24 + -4

Combine like terms: 24 + -4 = 20
15x = 20

Divide each side by '15'.
x = 1.333333333

Simplifying
x = 1.333333333

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