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

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


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

Reorder the terms:
4(4 + 3x) = 2x + -6
(4 * 4 + 3x * 4) = 2x + -6
(16 + 12x) = 2x + -6

Reorder the terms:
16 + 12x = -6 + 2x

Solving
16 + 12x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
16 + 12x + -2x = -6 + 2x + -2x

Combine like terms: 12x + -2x = 10x
16 + 10x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
16 + 10x = -6 + 0
16 + 10x = -6

Add '-16' to each side of the equation.
16 + -16 + 10x = -6 + -16

Combine like terms: 16 + -16 = 0
0 + 10x = -6 + -16
10x = -6 + -16

Combine like terms: -6 + -16 = -22
10x = -22

Divide each side by '10'.
x = -2.2

Simplifying
x = -2.2

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