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

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


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

Reorder the terms:
-4(-5 + 3x) = -2(x + -8)
(-5 * -4 + 3x * -4) = -2(x + -8)
(20 + -12x) = -2(x + -8)

Reorder the terms:
20 + -12x = -2(-8 + x)
20 + -12x = (-8 * -2 + x * -2)
20 + -12x = (16 + -2x)

Solving
20 + -12x = 16 + -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 + -12x + 2x = 16 + -2x + 2x

Combine like terms: -12x + 2x = -10x
20 + -10x = 16 + -2x + 2x

Combine like terms: -2x + 2x = 0
20 + -10x = 16 + 0
20 + -10x = 16

Add '-20' to each side of the equation.
20 + -20 + -10x = 16 + -20

Combine like terms: 20 + -20 = 0
0 + -10x = 16 + -20
-10x = 16 + -20

Combine like terms: 16 + -20 = -4
-10x = -4

Divide each side by '-10'.
x = 0.4

Simplifying
x = 0.4

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