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

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


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

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

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

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

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

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

Solving
-2 + 8x = 2

Solving for variable 'x'.

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

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

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

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

Divide each side by '8'.
x = 0.5

Simplifying
x = 0.5

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