10x-20=-3(20x-4)

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Solution for 10x-20=-3(20x-4) equation:


Simplifying
10x + -20 = -3(20x + -4)

Reorder the terms:
-20 + 10x = -3(20x + -4)

Reorder the terms:
-20 + 10x = -3(-4 + 20x)
-20 + 10x = (-4 * -3 + 20x * -3)
-20 + 10x = (12 + -60x)

Solving
-20 + 10x = 12 + -60x

Solving for variable 'x'.

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

Add '60x' to each side of the equation.
-20 + 10x + 60x = 12 + -60x + 60x

Combine like terms: 10x + 60x = 70x
-20 + 70x = 12 + -60x + 60x

Combine like terms: -60x + 60x = 0
-20 + 70x = 12 + 0
-20 + 70x = 12

Add '20' to each side of the equation.
-20 + 20 + 70x = 12 + 20

Combine like terms: -20 + 20 = 0
0 + 70x = 12 + 20
70x = 12 + 20

Combine like terms: 12 + 20 = 32
70x = 32

Divide each side by '70'.
x = 0.4571428571

Simplifying
x = 0.4571428571

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