3x-1=2x-4+2x-3-2

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Solution for 3x-1=2x-4+2x-3-2 equation:


Simplifying
3x + -1 = 2x + -4 + 2x + -3 + -2

Reorder the terms:
-1 + 3x = 2x + -4 + 2x + -3 + -2

Reorder the terms:
-1 + 3x = -4 + -3 + -2 + 2x + 2x

Combine like terms: -4 + -3 = -7
-1 + 3x = -7 + -2 + 2x + 2x

Combine like terms: -7 + -2 = -9
-1 + 3x = -9 + 2x + 2x

Combine like terms: 2x + 2x = 4x
-1 + 3x = -9 + 4x

Solving
-1 + 3x = -9 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-1 + 3x + -4x = -9 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-1 + -1x = -9 + 0
-1 + -1x = -9

Add '1' to each side of the equation.
-1 + 1 + -1x = -9 + 1

Combine like terms: -1 + 1 = 0
0 + -1x = -9 + 1
-1x = -9 + 1

Combine like terms: -9 + 1 = -8
-1x = -8

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

Simplifying
x = 8

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