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

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


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

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

Reorder the terms:
6 + -2x = 4(-1 + 2x)
6 + -2x = (-1 * 4 + 2x * 4)
6 + -2x = (-4 + 8x)

Solving
6 + -2x = -4 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + -2x + -8x = -4 + 8x + -8x

Combine like terms: -2x + -8x = -10x
6 + -10x = -4 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -10x = -4 + 0
6 + -10x = -4

Add '-6' to each side of the equation.
6 + -6 + -10x = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -10x = -4 + -6
-10x = -4 + -6

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

Divide each side by '-10'.
x = 1

Simplifying
x = 1

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