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

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Solution for 6(x+4)+3x=4(x-2) equation:


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

Reorder the terms:
6(4 + x) + 3x = 4(x + -2)
(4 * 6 + x * 6) + 3x = 4(x + -2)
(24 + 6x) + 3x = 4(x + -2)

Combine like terms: 6x + 3x = 9x
24 + 9x = 4(x + -2)

Reorder the terms:
24 + 9x = 4(-2 + x)
24 + 9x = (-2 * 4 + x * 4)
24 + 9x = (-8 + 4x)

Solving
24 + 9x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
24 + 9x + -4x = -8 + 4x + -4x

Combine like terms: 9x + -4x = 5x
24 + 5x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
24 + 5x = -8 + 0
24 + 5x = -8

Add '-24' to each side of the equation.
24 + -24 + 5x = -8 + -24

Combine like terms: 24 + -24 = 0
0 + 5x = -8 + -24
5x = -8 + -24

Combine like terms: -8 + -24 = -32
5x = -32

Divide each side by '5'.
x = -6.4

Simplifying
x = -6.4

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