7(3x+5)=(x-9)

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Solution for 7(3x+5)=(x-9) equation:


Simplifying
7(3x + 5) = (x + -9)

Reorder the terms:
7(5 + 3x) = (x + -9)
(5 * 7 + 3x * 7) = (x + -9)
(35 + 21x) = (x + -9)

Reorder the terms:
35 + 21x = (-9 + x)

Remove parenthesis around (-9 + x)
35 + 21x = -9 + x

Solving
35 + 21x = -9 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
35 + 21x + -1x = -9 + x + -1x

Combine like terms: 21x + -1x = 20x
35 + 20x = -9 + x + -1x

Combine like terms: x + -1x = 0
35 + 20x = -9 + 0
35 + 20x = -9

Add '-35' to each side of the equation.
35 + -35 + 20x = -9 + -35

Combine like terms: 35 + -35 = 0
0 + 20x = -9 + -35
20x = -9 + -35

Combine like terms: -9 + -35 = -44
20x = -44

Divide each side by '20'.
x = -2.2

Simplifying
x = -2.2

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