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

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


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

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

Combine like terms: 3x + 4x = 7x
-2 + 7x = 2x + 8

Reorder the terms:
-2 + 7x = 8 + 2x

Solving
-2 + 7x = 8 + 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.
-2 + 7x + -2x = 8 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-2 + 5x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 + 5x = 8 + 0
-2 + 5x = 8

Add '2' to each side of the equation.
-2 + 2 + 5x = 8 + 2

Combine like terms: -2 + 2 = 0
0 + 5x = 8 + 2
5x = 8 + 2

Combine like terms: 8 + 2 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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