3x-6=3-(x-1)-3

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Solution for 3x-6=3-(x-1)-3 equation:


Simplifying
3x + -6 = 3 + -1(x + -1) + -3

Reorder the terms:
-6 + 3x = 3 + -1(x + -1) + -3

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

Reorder the terms:
-6 + 3x = 3 + 1 + -3 + -1x

Combine like terms: 3 + 1 = 4
-6 + 3x = 4 + -3 + -1x

Combine like terms: 4 + -3 = 1
-6 + 3x = 1 + -1x

Solving
-6 + 3x = 1 + -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 + 3x + x = 1 + -1x + x

Combine like terms: 3x + x = 4x
-6 + 4x = 1 + -1x + x

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

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

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

Combine like terms: 1 + 6 = 7
4x = 7

Divide each side by '4'.
x = 1.75

Simplifying
x = 1.75

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