Question
Solve the equation
x=3
Evaluate
4(9x−25)=4(3x−7)
Calculate
More Steps

Evaluate
4(9x−25)
Apply the distributive property
4×9x−4×25
Multiply the numbers
36x−4×25
Multiply the numbers
36x−100
36x−100=4(3x−7)
Calculate
More Steps

Evaluate
4(3x−7)
Apply the distributive property
4×3x−4×7
Multiply the numbers
12x−4×7
Multiply the numbers
12x−28
36x−100=12x−28
Move the expression to the left side
36x−100−(12x−28)=0
Calculate
More Steps

Add the terms
36x−100−(12x−28)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
36x−100−12x+28
Subtract the terms
More Steps

Evaluate
36x−12x
Collect like terms by calculating the sum or difference of their coefficients
(36−12)x
Subtract the numbers
24x
24x−100+28
Add the numbers
24x−72
24x−72=0
Move the constant to the right-hand side and change its sign
24x=0+72
Removing 0 doesn't change the value,so remove it from the expression
24x=72
Divide both sides
2424x=2472
Divide the numbers
x=2472
Solution
More Steps

Evaluate
2472
Reduce the numbers
13
Calculate
3
x=3
Show Solution

Rewrite the equation
x=3
Evaluate
4(9x−25)=4(3x−7)
Multiply
More Steps

Evaluate
4(9x−25)
Apply the distributive property
4×9x−4×25
Multiply the numbers
36x−4×25
Multiply the numbers
36x−100
36x−100=4(3x−7)
Multiply
More Steps

Evaluate
4(3x−7)
Apply the distributive property
4×3x−4×7
Multiply the numbers
12x−4×7
Multiply the numbers
12x−28
36x−100=12x−28
Move the variable to the left side
24x−100=−28
Move the constant to the right side
24x=72
Solution
x=3
Show Solution
