-3(x+9)-(x-7)=16

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Solution for -3(x+9)-(x-7)=16 equation:


Simplifying
-3(x + 9) + -1(x + -7) = 16

Reorder the terms:
-3(9 + x) + -1(x + -7) = 16
(9 * -3 + x * -3) + -1(x + -7) = 16
(-27 + -3x) + -1(x + -7) = 16

Reorder the terms:
-27 + -3x + -1(-7 + x) = 16
-27 + -3x + (-7 * -1 + x * -1) = 16
-27 + -3x + (7 + -1x) = 16

Reorder the terms:
-27 + 7 + -3x + -1x = 16

Combine like terms: -27 + 7 = -20
-20 + -3x + -1x = 16

Combine like terms: -3x + -1x = -4x
-20 + -4x = 16

Solving
-20 + -4x = 16

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + -4x = 16 + 20

Combine like terms: -20 + 20 = 0
0 + -4x = 16 + 20
-4x = 16 + 20

Combine like terms: 16 + 20 = 36
-4x = 36

Divide each side by '-4'.
x = -9

Simplifying
x = -9

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