2(x-10)=-3(4x-2)

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Solution for 2(x-10)=-3(4x-2) equation:


Simplifying
2(x + -10) = -3(4x + -2)

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

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

Solving
-20 + 2x = 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.
-20 + 2x + 12x = 6 + -12x + 12x

Combine like terms: 2x + 12x = 14x
-20 + 14x = 6 + -12x + 12x

Combine like terms: -12x + 12x = 0
-20 + 14x = 6 + 0
-20 + 14x = 6

Add '20' to each side of the equation.
-20 + 20 + 14x = 6 + 20

Combine like terms: -20 + 20 = 0
0 + 14x = 6 + 20
14x = 6 + 20

Combine like terms: 6 + 20 = 26
14x = 26

Divide each side by '14'.
x = 1.857142857

Simplifying
x = 1.857142857

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