1-(3-2(x-3))=2-(2x-1)

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Solution for 1-(3-2(x-3))=2-(2x-1) equation:


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

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

Combine like terms: 3 + 6 = 9
1 + -1(9 + -2x) = 2 + -1(2x + -1)
1 + (9 * -1 + -2x * -1) = 2 + -1(2x + -1)
1 + (-9 + 2x) = 2 + -1(2x + -1)

Combine like terms: 1 + -9 = -8
-8 + 2x = 2 + -1(2x + -1)

Reorder the terms:
-8 + 2x = 2 + -1(-1 + 2x)
-8 + 2x = 2 + (-1 * -1 + 2x * -1)
-8 + 2x = 2 + (1 + -2x)

Combine like terms: 2 + 1 = 3
-8 + 2x = 3 + -2x

Solving
-8 + 2x = 3 + -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.
-8 + 2x + 2x = 3 + -2x + 2x

Combine like terms: 2x + 2x = 4x
-8 + 4x = 3 + -2x + 2x

Combine like terms: -2x + 2x = 0
-8 + 4x = 3 + 0
-8 + 4x = 3

Add '8' to each side of the equation.
-8 + 8 + 4x = 3 + 8

Combine like terms: -8 + 8 = 0
0 + 4x = 3 + 8
4x = 3 + 8

Combine like terms: 3 + 8 = 11
4x = 11

Divide each side by '4'.
x = 2.75

Simplifying
x = 2.75

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