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

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


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

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

Combine like terms: 4x + 3x = 7x
8 + 7x = 3(x + -4)

Reorder the terms:
8 + 7x = 3(-4 + x)
8 + 7x = (-4 * 3 + x * 3)
8 + 7x = (-12 + 3x)

Solving
8 + 7x = -12 + 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.
8 + 7x + -3x = -12 + 3x + -3x

Combine like terms: 7x + -3x = 4x
8 + 4x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + 4x = -12 + 0
8 + 4x = -12

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

Combine like terms: 8 + -8 = 0
0 + 4x = -12 + -8
4x = -12 + -8

Combine like terms: -12 + -8 = -20
4x = -20

Divide each side by '4'.
x = -5

Simplifying
x = -5

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