Question
Solve the equation
x=20
Evaluate
105+x45+x=2513
Find the domain
More Steps

Evaluate
105+x=0
Move the constant to the right side
x=0−105
Removing 0 doesn't change the value,so remove it from the expression
x=−105
105+x45+x=2513,x=−105
Cross multiply
(45+x)×25=(105+x)×13
Simplify the equation
25(45+x)=(105+x)×13
Simplify the equation
25(45+x)=13(105+x)
Calculate
More Steps

Evaluate
25(45+x)
Apply the distributive property
25×45+25x
Multiply the numbers
1125+25x
1125+25x=13(105+x)
Calculate
More Steps

Evaluate
13(105+x)
Apply the distributive property
13×105+13x
Multiply the numbers
1365+13x
1125+25x=1365+13x
Move the expression to the left side
1125+25x−(1365+13x)=0
Calculate the sum or difference
More Steps

Add the terms
1125+25x−(1365+13x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
1125+25x−1365−13x
Subtract the numbers
−240+25x−13x
Subtract the terms
More Steps

Evaluate
25x−13x
Collect like terms by calculating the sum or difference of their coefficients
(25−13)x
Subtract the numbers
12x
−240+12x
−240+12x=0
Move the constant to the right-hand side and change its sign
12x=0+240
Removing 0 doesn't change the value,so remove it from the expression
12x=240
Divide both sides
1212x=12240
Divide the numbers
x=12240
Divide the numbers
More Steps

Evaluate
12240
Reduce the numbers
120
Calculate
20
x=20
Check if the solution is in the defined range
x=20,x=−105
Solution
x=20
Show Solution
