(3x+6)+(5x-2)=10

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Solution for (3x+6)+(5x-2)=10 equation:


Simplifying
(3x + 6) + (5x + -2) = 10

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

Remove parenthesis around (6 + 3x)
6 + 3x + (5x + -2) = 10

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

Remove parenthesis around (-2 + 5x)
6 + 3x + -2 + 5x = 10

Reorder the terms:
6 + -2 + 3x + 5x = 10

Combine like terms: 6 + -2 = 4
4 + 3x + 5x = 10

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

Solving
4 + 8x = 10

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 = 10 + -4

Combine like terms: 4 + -4 = 0
0 + 8x = 10 + -4
8x = 10 + -4

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

Divide each side by '8'.
x = 0.75

Simplifying
x = 0.75

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