Question
Solve the equation
x=25
Evaluate
300(x+10)=350(x+5)
Calculate
More Steps

Evaluate
300(x+10)
Apply the distributive property
300x+300×10
Multiply the numbers
300x+3000
300x+3000=350(x+5)
Calculate
More Steps

Evaluate
350(x+5)
Apply the distributive property
350x+350×5
Multiply the numbers
350x+1750
300x+3000=350x+1750
Move the expression to the left side
300x+3000−(350x+1750)=0
Calculate the sum or difference
More Steps

Add the terms
300x+3000−(350x+1750)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
300x+3000−350x−1750
Subtract the terms
More Steps

Evaluate
300x−350x
Collect like terms by calculating the sum or difference of their coefficients
(300−350)x
Subtract the numbers
−50x
−50x+3000−1750
Subtract the numbers
−50x+1250
−50x+1250=0
Move the constant to the right-hand side and change its sign
−50x=0−1250
Removing 0 doesn't change the value,so remove it from the expression
−50x=−1250
Change the signs on both sides of the equation
50x=1250
Divide both sides
5050x=501250
Divide the numbers
x=501250
Solution
More Steps

Evaluate
501250
Reduce the numbers
125
Calculate
25
x=25
Show Solution

Rewrite the equation
x=25
Evaluate
300(x+10)=350(x+5)
Multiply
More Steps

Evaluate
300(x+10)
Apply the distributive property
300x+300×10
Multiply the numbers
300x+3000
300x+3000=350(x+5)
Multiply
More Steps

Evaluate
350(x+5)
Apply the distributive property
350x+350×5
Multiply the numbers
350x+1750
300x+3000=350x+1750
Move the variable to the left side
−50x+3000=1750
Move the constant to the right side
−50x=−1250
Multiply both sides
50x=1250
Solution
x=25
Show Solution
