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

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


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

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

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

Solving
-16 + 12x = 12 + 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 = 12 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-16 + 10x = 12 + 0
-16 + 10x = 12

Add '16' to each side of the equation.
-16 + 16 + 10x = 12 + 16

Combine like terms: -16 + 16 = 0
0 + 10x = 12 + 16
10x = 12 + 16

Combine like terms: 12 + 16 = 28
10x = 28

Divide each side by '10'.
x = 2.8

Simplifying
x = 2.8

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