3(x+2)+5(x-2)=8

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Solution for 3(x+2)+5(x-2)=8 equation:


Simplifying
3(x + 2) + 5(x + -2) = 8

Reorder the terms:
3(2 + x) + 5(x + -2) = 8
(2 * 3 + x * 3) + 5(x + -2) = 8
(6 + 3x) + 5(x + -2) = 8

Reorder the terms:
6 + 3x + 5(-2 + x) = 8
6 + 3x + (-2 * 5 + x * 5) = 8
6 + 3x + (-10 + 5x) = 8

Reorder the terms:
6 + -10 + 3x + 5x = 8

Combine like terms: 6 + -10 = -4
-4 + 3x + 5x = 8

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

Solving
-4 + 8x = 8

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 8x = 8 + 4

Combine like terms: -4 + 4 = 0
0 + 8x = 8 + 4
8x = 8 + 4

Combine like terms: 8 + 4 = 12
8x = 12

Divide each side by '8'.
x = 1.5

Simplifying
x = 1.5

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