-2(3x-1)=4(10-x)

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Solution for -2(3x-1)=4(10-x) equation:


Simplifying
-2(3x + -1) = 4(10 + -1x)

Reorder the terms:
-2(-1 + 3x) = 4(10 + -1x)
(-1 * -2 + 3x * -2) = 4(10 + -1x)
(2 + -6x) = 4(10 + -1x)
2 + -6x = (10 * 4 + -1x * 4)
2 + -6x = (40 + -4x)

Solving
2 + -6x = 40 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
2 + -6x + 4x = 40 + -4x + 4x

Combine like terms: -6x + 4x = -2x
2 + -2x = 40 + -4x + 4x

Combine like terms: -4x + 4x = 0
2 + -2x = 40 + 0
2 + -2x = 40

Add '-2' to each side of the equation.
2 + -2 + -2x = 40 + -2

Combine like terms: 2 + -2 = 0
0 + -2x = 40 + -2
-2x = 40 + -2

Combine like terms: 40 + -2 = 38
-2x = 38

Divide each side by '-2'.
x = -19

Simplifying
x = -19

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