x+2=4(3x-4)

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


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

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

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

Solving
2 + x = -16 + 12x

Solving for variable 'x'.

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

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

Combine like terms: x + -12x = -11x
2 + -11x = -16 + 12x + -12x

Combine like terms: 12x + -12x = 0
2 + -11x = -16 + 0
2 + -11x = -16

Add '-2' to each side of the equation.
2 + -2 + -11x = -16 + -2

Combine like terms: 2 + -2 = 0
0 + -11x = -16 + -2
-11x = -16 + -2

Combine like terms: -16 + -2 = -18
-11x = -18

Divide each side by '-11'.
x = 1.636363636

Simplifying
x = 1.636363636

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