-5(4x-2)=-2(5+6x)

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Solution for -5(4x-2)=-2(5+6x) equation:


Simplifying
-5(4x + -2) = -2(5 + 6x)

Reorder the terms:
-5(-2 + 4x) = -2(5 + 6x)
(-2 * -5 + 4x * -5) = -2(5 + 6x)
(10 + -20x) = -2(5 + 6x)
10 + -20x = (5 * -2 + 6x * -2)
10 + -20x = (-10 + -12x)

Solving
10 + -20x = -10 + -12x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '12x' to each side of the equation.
10 + -20x + 12x = -10 + -12x + 12x

Combine like terms: -20x + 12x = -8x
10 + -8x = -10 + -12x + 12x

Combine like terms: -12x + 12x = 0
10 + -8x = -10 + 0
10 + -8x = -10

Add '-10' to each side of the equation.
10 + -10 + -8x = -10 + -10

Combine like terms: 10 + -10 = 0
0 + -8x = -10 + -10
-8x = -10 + -10

Combine like terms: -10 + -10 = -20
-8x = -20

Divide each side by '-8'.
x = 2.5

Simplifying
x = 2.5

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