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

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


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

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

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

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

Combine like terms: 3 + 5 = 8
8 + 3x + -1x = 9(x + 3)

Combine like terms: 3x + -1x = 2x
8 + 2x = 9(x + 3)

Reorder the terms:
8 + 2x = 9(3 + x)
8 + 2x = (3 * 9 + x * 9)
8 + 2x = (27 + 9x)

Solving
8 + 2x = 27 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
8 + 2x + -9x = 27 + 9x + -9x

Combine like terms: 2x + -9x = -7x
8 + -7x = 27 + 9x + -9x

Combine like terms: 9x + -9x = 0
8 + -7x = 27 + 0
8 + -7x = 27

Add '-8' to each side of the equation.
8 + -8 + -7x = 27 + -8

Combine like terms: 8 + -8 = 0
0 + -7x = 27 + -8
-7x = 27 + -8

Combine like terms: 27 + -8 = 19
-7x = 19

Divide each side by '-7'.
x = -2.714285714

Simplifying
x = -2.714285714

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