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

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


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

Reorder the terms:
-2(-7 + x) + -1 = -4(x + 1)
(-7 * -2 + x * -2) + -1 = -4(x + 1)
(14 + -2x) + -1 = -4(x + 1)

Reorder the terms:
14 + -1 + -2x = -4(x + 1)

Combine like terms: 14 + -1 = 13
13 + -2x = -4(x + 1)

Reorder the terms:
13 + -2x = -4(1 + x)
13 + -2x = (1 * -4 + x * -4)
13 + -2x = (-4 + -4x)

Solving
13 + -2x = -4 + -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.
13 + -2x + 4x = -4 + -4x + 4x

Combine like terms: -2x + 4x = 2x
13 + 2x = -4 + -4x + 4x

Combine like terms: -4x + 4x = 0
13 + 2x = -4 + 0
13 + 2x = -4

Add '-13' to each side of the equation.
13 + -13 + 2x = -4 + -13

Combine like terms: 13 + -13 = 0
0 + 2x = -4 + -13
2x = -4 + -13

Combine like terms: -4 + -13 = -17
2x = -17

Divide each side by '2'.
x = -8.5

Simplifying
x = -8.5

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