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

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


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

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

Remove parenthesis around (1 + 3x)
1 + 3x + (5x + -3) = 2x + (4x + 2)

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

Remove parenthesis around (-3 + 5x)
1 + 3x + -3 + 5x = 2x + (4x + 2)

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

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

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

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

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

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

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

Solving
-2 + 8x = 2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-2 + 8x + -6x = 2 + 6x + -6x

Combine like terms: 8x + -6x = 2x
-2 + 2x = 2 + 6x + -6x

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

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

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

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

Divide each side by '2'.
x = 2

Simplifying
x = 2

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