-7(x+6)=9x+22

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Solution for -7(x+6)=9x+22 equation:


Simplifying
-7(x + 6) = 9x + 22

Reorder the terms:
-7(6 + x) = 9x + 22
(6 * -7 + x * -7) = 9x + 22
(-42 + -7x) = 9x + 22

Reorder the terms:
-42 + -7x = 22 + 9x

Solving
-42 + -7x = 22 + 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.
-42 + -7x + -9x = 22 + 9x + -9x

Combine like terms: -7x + -9x = -16x
-42 + -16x = 22 + 9x + -9x

Combine like terms: 9x + -9x = 0
-42 + -16x = 22 + 0
-42 + -16x = 22

Add '42' to each side of the equation.
-42 + 42 + -16x = 22 + 42

Combine like terms: -42 + 42 = 0
0 + -16x = 22 + 42
-16x = 22 + 42

Combine like terms: 22 + 42 = 64
-16x = 64

Divide each side by '-16'.
x = -4

Simplifying
x = -4

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