Solve for x
x = \frac{45}{2} = 22\frac{1}{2} = 22.5
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Linear Equation
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1500 \times 25+1000 \times 15=1500 \times 20+1000 \times x
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37500+15000=1500\times 20+1000x
Multiply 1500 and 25 to get 37500. Multiply 1000 and 15 to get 15000.
52500=1500\times 20+1000x
Add 37500 and 15000 to get 52500.
52500=30000+1000x
Multiply 1500 and 20 to get 30000.
30000+1000x=52500
Swap sides so that all variable terms are on the left hand side.
1000x=52500-30000
Subtract 30000 from both sides.
1000x=22500
Subtract 30000 from 52500 to get 22500.
x=\frac{22500}{1000}
Divide both sides by 1000.
x=\frac{45}{2}
Reduce the fraction \frac{22500}{1000} to lowest terms by extracting and canceling out 500.
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