3(4x-2)+8=7x-16

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Solution for 3(4x-2)+8=7x-16 equation: 


Simplifying
3(4x + -2) + 8 = 7x + -16

Reorder the terms:
3(-2 + 4x) + 8 = 7x + -16
(-2 * 3 + 4x * 3) + 8 = 7x + -16
(-6 + 12x) + 8 = 7x + -16

Reorder the terms:
-6 + 8 + 12x = 7x + -16

Combine like terms: -6 + 8 = 2
2 + 12x = 7x + -16

Reorder the terms:
2 + 12x = -16 + 7x

Solving
2 + 12x = -16 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
2 + 12x + -7x = -16 + 7x + -7x

Combine like terms: 12x + -7x = 5x
2 + 5x = -16 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + 5x = -16 + 0
2 + 5x = -16

Add '-2' to each side of the equation.
2 + -2 + 5x = -16 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = -16 + -2
5x = -16 + -2

Combine like terms: -16 + -2 = -18
5x = -18

Divide each side by '5'.
x = -3.6

Simplifying
x = -3.6

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