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

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


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

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

Reorder the terms:
6 + -2x = 4(-6 + x)
6 + -2x = (-6 * 4 + x * 4)
6 + -2x = (-24 + 4x)

Solving
6 + -2x = -24 + 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.
6 + -2x + -4x = -24 + 4x + -4x

Combine like terms: -2x + -4x = -6x
6 + -6x = -24 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -6x = -24 + 0
6 + -6x = -24

Add '-6' to each side of the equation.
6 + -6 + -6x = -24 + -6

Combine like terms: 6 + -6 = 0
0 + -6x = -24 + -6
-6x = -24 + -6

Combine like terms: -24 + -6 = -30
-6x = -30

Divide each side by '-6'.
x = 5

Simplifying
x = 5

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