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

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


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

Reorder the terms:
-3(-2 + 3x) = -1(x + -4)
(-2 * -3 + 3x * -3) = -1(x + -4)
(6 + -9x) = -1(x + -4)

Reorder the terms:
6 + -9x = -1(-4 + x)
6 + -9x = (-4 * -1 + x * -1)
6 + -9x = (4 + -1x)

Solving
6 + -9x = 4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
6 + -9x + x = 4 + -1x + x

Combine like terms: -9x + x = -8x
6 + -8x = 4 + -1x + x

Combine like terms: -1x + x = 0
6 + -8x = 4 + 0
6 + -8x = 4

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

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

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

Divide each side by '-8'.
x = 0.25

Simplifying
x = 0.25

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