2x-9+3x+1=4x+2-3x-5

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Solution for 2x-9+3x+1=4x+2-3x-5 equation:


Simplifying
2x + -9 + 3x + 1 = 4x + 2 + -3x + -5

Reorder the terms:
-9 + 1 + 2x + 3x = 4x + 2 + -3x + -5

Combine like terms: -9 + 1 = -8
-8 + 2x + 3x = 4x + 2 + -3x + -5

Combine like terms: 2x + 3x = 5x
-8 + 5x = 4x + 2 + -3x + -5

Reorder the terms:
-8 + 5x = 2 + -5 + 4x + -3x

Combine like terms: 2 + -5 = -3
-8 + 5x = -3 + 4x + -3x

Combine like terms: 4x + -3x = 1x
-8 + 5x = -3 + 1x

Solving
-8 + 5x = -3 + 1x

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.
-8 + 5x + -1x = -3 + 1x + -1x

Combine like terms: 5x + -1x = 4x
-8 + 4x = -3 + 1x + -1x

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

Divide each side by '4'.
x = 1.25

Simplifying
x = 1.25

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