6(x+3)=3x-4

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


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

Reorder the terms:
6(3 + x) = 3x + -4
(3 * 6 + x * 6) = 3x + -4
(18 + 6x) = 3x + -4

Reorder the terms:
18 + 6x = -4 + 3x

Solving
18 + 6x = -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.
18 + 6x + -3x = -4 + 3x + -3x

Combine like terms: 6x + -3x = 3x
18 + 3x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
18 + 3x = -4 + 0
18 + 3x = -4

Add '-18' to each side of the equation.
18 + -18 + 3x = -4 + -18

Combine like terms: 18 + -18 = 0
0 + 3x = -4 + -18
3x = -4 + -18

Combine like terms: -4 + -18 = -22
3x = -22

Divide each side by '3'.
x = -7.333333333

Simplifying
x = -7.333333333

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