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6x-58=3x-12x-\left(-32\right)
To find the opposite of 12x-32, find the opposite of each term.
6x-58=3x-12x+32
The opposite of -32 is 32.
6x-58=-9x+32
Combine 3x and -12x to get -9x.
6x-58+9x=32
Add 9x to both sides.
15x-58=32
Combine 6x and 9x to get 15x.
15x=32+58
Add 58 to both sides.
15x=90
Add 32 and 58 to get 90.
x=\frac{90}{15}
Divide both sides by 15.
x=6
Divide 90 by 15 to get 6.