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

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


Simplifying
7(3x + 5) = -1(x + 9)

Reorder the terms:
7(5 + 3x) = -1(x + 9)
(5 * 7 + 3x * 7) = -1(x + 9)
(35 + 21x) = -1(x + 9)

Reorder the terms:
35 + 21x = -1(9 + x)
35 + 21x = (9 * -1 + x * -1)
35 + 21x = (-9 + -1x)

Solving
35 + 21x = -9 + -1x

Solving for variable 'x'.

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

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

Combine like terms: 21x + x = 22x
35 + 22x = -9 + -1x + x

Combine like terms: -1x + x = 0
35 + 22x = -9 + 0
35 + 22x = -9

Add '-35' to each side of the equation.
35 + -35 + 22x = -9 + -35

Combine like terms: 35 + -35 = 0
0 + 22x = -9 + -35
22x = -9 + -35

Combine like terms: -9 + -35 = -44
22x = -44

Divide each side by '22'.
x = -2

Simplifying
x = -2

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