(2+7x-4(3x-1))=7x-16

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Solution for (2+7x-4(3x-1))=7x-16 equation:


Simplifying
(2 + 7x + -4(3x + -1)) = 7x + -16

Reorder the terms:
(2 + 7x + -4(-1 + 3x)) = 7x + -16
(2 + 7x + (-1 * -4 + 3x * -4)) = 7x + -16
(2 + 7x + (4 + -12x)) = 7x + -16

Reorder the terms:
(2 + 4 + 7x + -12x) = 7x + -16

Combine like terms: 2 + 4 = 6
(6 + 7x + -12x) = 7x + -16

Combine like terms: 7x + -12x = -5x
(6 + -5x) = 7x + -16

Remove parenthesis around (6 + -5x)
6 + -5x = 7x + -16

Reorder the terms:
6 + -5x = -16 + 7x

Solving
6 + -5x = -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.
6 + -5x + -7x = -16 + 7x + -7x

Combine like terms: -5x + -7x = -12x
6 + -12x = -16 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + -12x = -16 + 0
6 + -12x = -16

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

Combine like terms: 6 + -6 = 0
0 + -12x = -16 + -6
-12x = -16 + -6

Combine like terms: -16 + -6 = -22
-12x = -22

Divide each side by '-12'.
x = 1.833333333

Simplifying
x = 1.833333333

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