3x+5=4x-1+2x-3

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Solution for 3x+5=4x-1+2x-3 equation:


Simplifying
3x + 5 = 4x + -1 + 2x + -3

Reorder the terms:
5 + 3x = 4x + -1 + 2x + -3

Reorder the terms:
5 + 3x = -1 + -3 + 4x + 2x

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

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

Solving
5 + 3x = -4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
5 + 3x + -6x = -4 + 6x + -6x

Combine like terms: 3x + -6x = -3x
5 + -3x = -4 + 6x + -6x

Combine like terms: 6x + -6x = 0
5 + -3x = -4 + 0
5 + -3x = -4

Add '-5' to each side of the equation.
5 + -5 + -3x = -4 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = -4 + -5
-3x = -4 + -5

Combine like terms: -4 + -5 = -9
-3x = -9

Divide each side by '-3'.
x = 3

Simplifying
x = 3

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