Question
Solve the equation
x=250
Evaluate
54x−30+10=43(x−10)
Add the numbers
54x−20=43(x−10)
Multiply the terms
More Steps

Evaluate
43(x−10)
Apply the distributive property
43x−43×10
Multiply the numbers
More Steps

Evaluate
43×10
Reduce the numbers
23×5
Multiply the numbers
23×5
Multiply the numbers
215
43x−215
54x−20=43x−215
Multiply both sides of the equation by LCM
(54x−20)×20=(43x−215)×20
Calculate
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Evaluate
(54x−20)×20
Apply the distributive property
54x×20−20×20
Multiply the numbers
More Steps

Evaluate
54×20
Reduce the numbers
4×4
Multiply the numbers
16
16x−20×20
Multiply the numbers
16x−400
16x−400=(43x−215)×20
Calculate
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Evaluate
(43x−215)×20
Apply the distributive property
43x×20−215×20
Multiply the numbers
More Steps

Evaluate
43×20
Reduce the numbers
3×5
Multiply the numbers
15
15x−215×20
Multiply the numbers
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Evaluate
−215×20
Reduce the numbers
−15×10
Multiply the numbers
−150
15x−150
16x−400=15x−150
Move the expression to the left side
16x−400−15x=−150
Move the expression to the right side
16x−15x=−150+400
Add and subtract
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Evaluate
16x−15x
Collect like terms by calculating the sum or difference of their coefficients
(16−15)x
Subtract the numbers
x
x=−150+400
Solution
x=250
Show Solution

Rewrite the equation
x=250
Evaluate
54x−30+10=43(x−10)
Evaluate
54x−20=43(x−10)
Evaluate
More Steps

Evaluate
43(x−10)
Apply the distributive property
43x−43×10
Multiply the numbers
More Steps

Evaluate
43×10
Reduce the numbers
23×5
Multiply the numbers
23×5
Multiply the numbers
215
43x−215
54x−20=43x−215
Multiply both sides of the equation by LCD
16x−400=15x−150
Move the variable to the left side
x−400=−150
Solution
x=250
Show Solution
