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

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


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

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

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

Combine like terms: 3x + -1x = 2x
1 + 2x = 1 + -1(3x + -9)

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

Combine like terms: 1 + 9 = 10
1 + 2x = 10 + -3x

Solving
1 + 2x = 10 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
1 + 2x + 3x = 10 + -3x + 3x

Combine like terms: 2x + 3x = 5x
1 + 5x = 10 + -3x + 3x

Combine like terms: -3x + 3x = 0
1 + 5x = 10 + 0
1 + 5x = 10

Add '-1' to each side of the equation.
1 + -1 + 5x = 10 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 10 + -1
5x = 10 + -1

Combine like terms: 10 + -1 = 9
5x = 9

Divide each side by '5'.
x = 1.8

Simplifying
x = 1.8

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