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2x-3\left(30-x\right)=60
Multiply both sides of the equation by 12, the least common multiple of 6,4.
2x-90+3x=60
Use the distributive property to multiply -3 by 30-x.
5x-90=60
Combine 2x and 3x to get 5x.
5x=60+90
Add 90 to both sides.
5x=150
Add 60 and 90 to get 150.
x=\frac{150}{5}
Divide both sides by 5.
x=30
Divide 150 by 5 to get 30.