(2x-3)+(3x-1)=(x-2)-(5-6)

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Solution for (2x-3)+(3x-1)=(x-2)-(5-6) equation:


Simplifying
(2x + -3) + (3x + -1) = (x + -2) + -1(5 + -6)

Reorder the terms:
(-3 + 2x) + (3x + -1) = (x + -2) + -1(5 + -6)

Remove parenthesis around (-3 + 2x)
-3 + 2x + (3x + -1) = (x + -2) + -1(5 + -6)

Reorder the terms:
-3 + 2x + (-1 + 3x) = (x + -2) + -1(5 + -6)

Remove parenthesis around (-1 + 3x)
-3 + 2x + -1 + 3x = (x + -2) + -1(5 + -6)

Reorder the terms:
-3 + -1 + 2x + 3x = (x + -2) + -1(5 + -6)

Combine like terms: -3 + -1 = -4
-4 + 2x + 3x = (x + -2) + -1(5 + -6)

Combine like terms: 2x + 3x = 5x
-4 + 5x = (x + -2) + -1(5 + -6)

Reorder the terms:
-4 + 5x = (-2 + x) + -1(5 + -6)

Remove parenthesis around (-2 + x)
-4 + 5x = -2 + x + -1(5 + -6)

Combine like terms: 5 + -6 = -1
-4 + 5x = -2 + x + -1(-1)

Multiply -1 * -1
-4 + 5x = -2 + x + 1

Reorder the terms:
-4 + 5x = -2 + 1 + x

Combine like terms: -2 + 1 = -1
-4 + 5x = -1 + x

Solving
-4 + 5x = -1 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-4 + 5x + -1x = -1 + x + -1x

Combine like terms: 5x + -1x = 4x
-4 + 4x = -1 + x + -1x

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

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

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

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

Divide each side by '4'.
x = 0.75

Simplifying
x = 0.75

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