2(4x+1)=4x-12

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Solution for 2(4x+1)=4x-12 equation:


Simplifying
2(4x + 1) = 4x + -12

Reorder the terms:
2(1 + 4x) = 4x + -12
(1 * 2 + 4x * 2) = 4x + -12
(2 + 8x) = 4x + -12

Reorder the terms:
2 + 8x = -12 + 4x

Solving
2 + 8x = -12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2 + 8x + -4x = -12 + 4x + -4x

Combine like terms: 8x + -4x = 4x
2 + 4x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + 4x = -12 + 0
2 + 4x = -12

Add '-2' to each side of the equation.
2 + -2 + 4x = -12 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = -12 + -2
4x = -12 + -2

Combine like terms: -12 + -2 = -14
4x = -14

Divide each side by '4'.
x = -3.5

Simplifying
x = -3.5

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