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

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


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

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

Remove parenthesis around (-2 + x)
4x + -2 + x = 3x + 8

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

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

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

Solving
-2 + 5x = 8 + 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.
-2 + 5x + -3x = 8 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-2 + 2x = 8 + 0
-2 + 2x = 8

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

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

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

Divide each side by '2'.
x = 5

Simplifying
x = 5

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