2(x+4)-1=-2(x-6)

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Solution for 2(x+4)-1=-2(x-6) equation:


Simplifying
2(x + 4) + -1 = -2(x + -6)

Reorder the terms:
2(4 + x) + -1 = -2(x + -6)
(4 * 2 + x * 2) + -1 = -2(x + -6)
(8 + 2x) + -1 = -2(x + -6)

Reorder the terms:
8 + -1 + 2x = -2(x + -6)

Combine like terms: 8 + -1 = 7
7 + 2x = -2(x + -6)

Reorder the terms:
7 + 2x = -2(-6 + x)
7 + 2x = (-6 * -2 + x * -2)
7 + 2x = (12 + -2x)

Solving
7 + 2x = 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.
7 + 2x + 2x = 12 + -2x + 2x

Combine like terms: 2x + 2x = 4x
7 + 4x = 12 + -2x + 2x

Combine like terms: -2x + 2x = 0
7 + 4x = 12 + 0
7 + 4x = 12

Add '-7' to each side of the equation.
7 + -7 + 4x = 12 + -7

Combine like terms: 7 + -7 = 0
0 + 4x = 12 + -7
4x = 12 + -7

Combine like terms: 12 + -7 = 5
4x = 5

Divide each side by '4'.
x = 1.25

Simplifying
x = 1.25

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