(3x-5)-(x+1)=9

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Solution for (3x-5)-(x+1)=9 equation:


Simplifying
(3x + -5) + -1(x + 1) = 9

Reorder the terms:
(-5 + 3x) + -1(x + 1) = 9

Remove parenthesis around (-5 + 3x)
-5 + 3x + -1(x + 1) = 9

Reorder the terms:
-5 + 3x + -1(1 + x) = 9
-5 + 3x + (1 * -1 + x * -1) = 9
-5 + 3x + (-1 + -1x) = 9

Reorder the terms:
-5 + -1 + 3x + -1x = 9

Combine like terms: -5 + -1 = -6
-6 + 3x + -1x = 9

Combine like terms: 3x + -1x = 2x
-6 + 2x = 9

Solving
-6 + 2x = 9

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 2x = 9 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 9 + 6
2x = 9 + 6

Combine like terms: 9 + 6 = 15
2x = 15

Divide each side by '2'.
x = 7.5

Simplifying
x = 7.5

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