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

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


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

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

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

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

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

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

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

Solving
-4 + 4x = 5 + -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.
-4 + 4x + 2x = 5 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
-4 + 6x = 5 + 0
-4 + 6x = 5

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

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

Combine like terms: 5 + 4 = 9
6x = 9

Divide each side by '6'.
x = 1.5

Simplifying
x = 1.5

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