-5(4x-2)=-10(-2x+1)

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Solution for -5(4x-2)=-10(-2x+1) equation:


Simplifying
-5(4x + -2) = -10(-2x + 1)

Reorder the terms:
-5(-2 + 4x) = -10(-2x + 1)
(-2 * -5 + 4x * -5) = -10(-2x + 1)
(10 + -20x) = -10(-2x + 1)

Reorder the terms:
10 + -20x = -10(1 + -2x)
10 + -20x = (1 * -10 + -2x * -10)
10 + -20x = (-10 + 20x)

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

Solving for variable 'x'.

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

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

Combine like terms: -20x + -20x = -40x
10 + -40x = -10 + 20x + -20x

Combine like terms: 20x + -20x = 0
10 + -40x = -10 + 0
10 + -40x = -10

Add '-10' to each side of the equation.
10 + -10 + -40x = -10 + -10

Combine like terms: 10 + -10 = 0
0 + -40x = -10 + -10
-40x = -10 + -10

Combine like terms: -10 + -10 = -20
-40x = -20

Divide each side by '-40'.
x = 0.5

Simplifying
x = 0.5

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