-2(x-8)+4=-7(x-1)

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Solution for -2(x-8)+4=-7(x-1) equation:


Simplifying
-2(x + -8) + 4 = -7(x + -1)

Reorder the terms:
-2(-8 + x) + 4 = -7(x + -1)
(-8 * -2 + x * -2) + 4 = -7(x + -1)
(16 + -2x) + 4 = -7(x + -1)

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

Combine like terms: 16 + 4 = 20
20 + -2x = -7(x + -1)

Reorder the terms:
20 + -2x = -7(-1 + x)
20 + -2x = (-1 * -7 + x * -7)
20 + -2x = (7 + -7x)

Solving
20 + -2x = 7 + -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.
20 + -2x + 7x = 7 + -7x + 7x

Combine like terms: -2x + 7x = 5x
20 + 5x = 7 + -7x + 7x

Combine like terms: -7x + 7x = 0
20 + 5x = 7 + 0
20 + 5x = 7

Add '-20' to each side of the equation.
20 + -20 + 5x = 7 + -20

Combine like terms: 20 + -20 = 0
0 + 5x = 7 + -20
5x = 7 + -20

Combine like terms: 7 + -20 = -13
5x = -13

Divide each side by '5'.
x = -2.6

Simplifying
x = -2.6

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