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150x+120\left(\frac{50\times 3}{3}-\frac{2x}{3}\right)
To add or subtract expressions, expand them to make their denominators the same. Multiply 50 times \frac{3}{3}.
150x+120\times \frac{50\times 3-2x}{3}
Since \frac{50\times 3}{3} and \frac{2x}{3} have the same denominator, subtract them by subtracting their numerators.
150x+120\times \frac{150-2x}{3}
Do the multiplications in 50\times 3-2x.
150x+40\left(150-2x\right)
Cancel out 3, the greatest common factor in 120 and 3.
150x+6000-80x
Use the distributive property to multiply 40 by 150-2x.
70x+6000
Combine 150x and -80x to get 70x.
150x+120\left(\frac{50\times 3}{3}-\frac{2x}{3}\right)
To add or subtract expressions, expand them to make their denominators the same. Multiply 50 times \frac{3}{3}.
150x+120\times \frac{50\times 3-2x}{3}
Since \frac{50\times 3}{3} and \frac{2x}{3} have the same denominator, subtract them by subtracting their numerators.
150x+120\times \frac{150-2x}{3}
Do the multiplications in 50\times 3-2x.
150x+40\left(150-2x\right)
Cancel out 3, the greatest common factor in 120 and 3.
150x+6000-80x
Use the distributive property to multiply 40 by 150-2x.
70x+6000
Combine 150x and -80x to get 70x.