Question
Solve the equation
x=280
Evaluate
(3×4x)−(3×14x)=150
Simplify
More Steps

Evaluate
(3×4x)−(3×14x)
Multiply the terms
43x−(3×14x)
Multiply the terms
43x−143x
43x−143x=150
Multiply both sides of the equation by LCD
(43x−143x)×28=150×28
Simplify the equation
More Steps

Evaluate
(43x−143x)×28
Apply the distributive property
43x×28−143x×28
Simplify
3x×7−3x×2
Multiply the numbers
21x−3x×2
Multiply the numbers
21x−6x
Collect like terms by calculating the sum or difference of their coefficients
(21−6)x
Subtract the numbers
15x
15x=150×28
Simplify the equation
15x=4200
Divide both sides
1515x=154200
Divide the numbers
x=154200
Solution
More Steps

Evaluate
154200
Reduce the numbers
1280
Calculate
280
x=280
Show Solution

Rewrite the equation
x=280
Evaluate
(3×4x)−(3×14x)=150
Evaluate
More Steps

Evaluate
(3×4x)−(3×14x)
Multiply the terms
43x−(3×14x)
Multiply the terms
43x−143x
43x−143x=150
Rewrite the expression
More Steps

Evaluate
43x−143x
Reduce the fraction
43x−143x
Reduce the fraction
More Steps

Evaluate
−143x
Use b−a=−ba=−ba to rewrite the fraction
14−3x
Reduce the fraction
−143x
43x−143x
43x−143x=150
Multiply both sides of the equation by LCD
15x=4200
Solution
x=280
Show Solution
