2x-3+2=x+6-4x+8

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Solution for 2x-3+2=x+6-4x+8 equation:


Simplifying
2x + -3 + 2 = x + 6 + -4x + 8

Reorder the terms:
-3 + 2 + 2x = x + 6 + -4x + 8

Combine like terms: -3 + 2 = -1
-1 + 2x = x + 6 + -4x + 8

Reorder the terms:
-1 + 2x = 6 + 8 + x + -4x

Combine like terms: 6 + 8 = 14
-1 + 2x = 14 + x + -4x

Combine like terms: x + -4x = -3x
-1 + 2x = 14 + -3x

Solving
-1 + 2x = 14 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-1 + 2x + 3x = 14 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-1 + 5x = 14 + -3x + 3x

Combine like terms: -3x + 3x = 0
-1 + 5x = 14 + 0
-1 + 5x = 14

Add '1' to each side of the equation.
-1 + 1 + 5x = 14 + 1

Combine like terms: -1 + 1 = 0
0 + 5x = 14 + 1
5x = 14 + 1

Combine like terms: 14 + 1 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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