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

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


Simplifying
8x + -1(3x + 2) + x = 3x + 2

Reorder the terms:
8x + -1(2 + 3x) + x = 3x + 2
8x + (2 * -1 + 3x * -1) + x = 3x + 2
8x + (-2 + -3x) + x = 3x + 2

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

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

Combine like terms: 5x + x = 6x
-2 + 6x = 3x + 2

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

Solving
-2 + 6x = 2 + 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 + 6x + -3x = 2 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-2 + 3x = 2 + 3x + -3x

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

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

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

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

Divide each side by '3'.
x = 1.333333333

Simplifying
x = 1.333333333

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