9-3(x-1)=x-(3x-4)

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Solution for 9-3(x-1)=x-(3x-4) equation:


Simplifying
9 + -3(x + -1) = x + -1(3x + -4)

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

Combine like terms: 9 + 3 = 12
12 + -3x = x + -1(3x + -4)

Reorder the terms:
12 + -3x = x + -1(-4 + 3x)
12 + -3x = x + (-4 * -1 + 3x * -1)
12 + -3x = x + (4 + -3x)

Reorder the terms:
12 + -3x = 4 + x + -3x

Combine like terms: x + -3x = -2x
12 + -3x = 4 + -2x

Solving
12 + -3x = 4 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
12 + -3x + 2x = 4 + -2x + 2x

Combine like terms: -3x + 2x = -1x
12 + -1x = 4 + -2x + 2x

Combine like terms: -2x + 2x = 0
12 + -1x = 4 + 0
12 + -1x = 4

Add '-12' to each side of the equation.
12 + -12 + -1x = 4 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 4 + -12
-1x = 4 + -12

Combine like terms: 4 + -12 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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