-4(x-3)+8=-2(5-x)

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Solution for -4(x-3)+8=-2(5-x) equation:


Simplifying
-4(x + -3) + 8 = -2(5 + -1x)

Reorder the terms:
-4(-3 + x) + 8 = -2(5 + -1x)
(-3 * -4 + x * -4) + 8 = -2(5 + -1x)
(12 + -4x) + 8 = -2(5 + -1x)

Reorder the terms:
12 + 8 + -4x = -2(5 + -1x)

Combine like terms: 12 + 8 = 20
20 + -4x = -2(5 + -1x)
20 + -4x = (5 * -2 + -1x * -2)
20 + -4x = (-10 + 2x)

Solving
20 + -4x = -10 + 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.
20 + -4x + -2x = -10 + 2x + -2x

Combine like terms: -4x + -2x = -6x
20 + -6x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + -6x = -10 + 0
20 + -6x = -10

Add '-20' to each side of the equation.
20 + -20 + -6x = -10 + -20

Combine like terms: 20 + -20 = 0
0 + -6x = -10 + -20
-6x = -10 + -20

Combine like terms: -10 + -20 = -30
-6x = -30

Divide each side by '-6'.
x = 5

Simplifying
x = 5

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