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12x-\left(4x+72\right)-\left(3x+96\right)=312
Multiply both sides of the equation by 12.
12x-4x-72-\left(3x+96\right)=312
To find the opposite of 4x+72, find the opposite of each term.
8x-72-\left(3x+96\right)=312
Combine 12x and -4x to get 8x.
8x-72-3x-96=312
To find the opposite of 3x+96, find the opposite of each term.
5x-72-96=312
Combine 8x and -3x to get 5x.
5x-168=312
Subtract 96 from -72 to get -168.
5x=312+168
Add 168 to both sides.
5x=480
Add 312 and 168 to get 480.
x=\frac{480}{5}
Divide both sides by 5.
x=96
Divide 480 by 5 to get 96.