5(4x-2)=-2(3+6x)

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Solution for 5(4x-2)=-2(3+6x) equation:


Simplifying
5(4x + -2) = -2(3 + 6x)

Reorder the terms:
5(-2 + 4x) = -2(3 + 6x)
(-2 * 5 + 4x * 5) = -2(3 + 6x)
(-10 + 20x) = -2(3 + 6x)
-10 + 20x = (3 * -2 + 6x * -2)
-10 + 20x = (-6 + -12x)

Solving
-10 + 20x = -6 + -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 = -6 + -12x + 12x

Combine like terms: 20x + 12x = 32x
-10 + 32x = -6 + -12x + 12x

Combine like terms: -12x + 12x = 0
-10 + 32x = -6 + 0
-10 + 32x = -6

Add '10' to each side of the equation.
-10 + 10 + 32x = -6 + 10

Combine like terms: -10 + 10 = 0
0 + 32x = -6 + 10
32x = -6 + 10

Combine like terms: -6 + 10 = 4
32x = 4

Divide each side by '32'.
x = 0.125

Simplifying
x = 0.125

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