2(3-3x)=8-4(4-2x)

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Solution for 2(3-3x)=8-4(4-2x) equation:


Simplifying
2(3 + -3x) = 8 + -4(4 + -2x)
(3 * 2 + -3x * 2) = 8 + -4(4 + -2x)
(6 + -6x) = 8 + -4(4 + -2x)
6 + -6x = 8 + (4 * -4 + -2x * -4)
6 + -6x = 8 + (-16 + 8x)

Combine like terms: 8 + -16 = -8
6 + -6x = -8 + 8x

Solving
6 + -6x = -8 + 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 + -6x + -8x = -8 + 8x + -8x

Combine like terms: -6x + -8x = -14x
6 + -14x = -8 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -14x = -8 + 0
6 + -14x = -8

Add '-6' to each side of the equation.
6 + -6 + -14x = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -14x = -8 + -6
-14x = -8 + -6

Combine like terms: -8 + -6 = -14
-14x = -14

Divide each side by '-14'.
x = 1

Simplifying
x = 1

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