(3x+8)-(x-6)=10

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Solution for (3x+8)-(x-6)=10 equation:


Simplifying
(3x + 8) + -1(x + -6) = 10

Reorder the terms:
(8 + 3x) + -1(x + -6) = 10

Remove parenthesis around (8 + 3x)
8 + 3x + -1(x + -6) = 10

Reorder the terms:
8 + 3x + -1(-6 + x) = 10
8 + 3x + (-6 * -1 + x * -1) = 10
8 + 3x + (6 + -1x) = 10

Reorder the terms:
8 + 6 + 3x + -1x = 10

Combine like terms: 8 + 6 = 14
14 + 3x + -1x = 10

Combine like terms: 3x + -1x = 2x
14 + 2x = 10

Solving
14 + 2x = 10

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + 2x = 10 + -14

Combine like terms: 14 + -14 = 0
0 + 2x = 10 + -14
2x = 10 + -14

Combine like terms: 10 + -14 = -4
2x = -4

Divide each side by '2'.
x = -2

Simplifying
x = -2

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