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

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


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

Reorder the terms:
-2(-3 + x) = 4(4 + -3x)
(-3 * -2 + x * -2) = 4(4 + -3x)
(6 + -2x) = 4(4 + -3x)
6 + -2x = (4 * 4 + -3x * 4)
6 + -2x = (16 + -12x)

Solving
6 + -2x = 16 + -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.
6 + -2x + 12x = 16 + -12x + 12x

Combine like terms: -2x + 12x = 10x
6 + 10x = 16 + -12x + 12x

Combine like terms: -12x + 12x = 0
6 + 10x = 16 + 0
6 + 10x = 16

Add '-6' to each side of the equation.
6 + -6 + 10x = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 10x = 16 + -6
10x = 16 + -6

Combine like terms: 16 + -6 = 10
10x = 10

Divide each side by '10'.
x = 1

Simplifying
x = 1

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