Question
Solve the equation
x=1
Evaluate
3(4x−9)=5(2x−5)
Calculate
More Steps

Evaluate
3(4x−9)
Apply the distributive property
3×4x−3×9
Multiply the numbers
12x−3×9
Multiply the numbers
12x−27
12x−27=5(2x−5)
Calculate
More Steps

Evaluate
5(2x−5)
Apply the distributive property
5×2x−5×5
Multiply the numbers
10x−5×5
Multiply the numbers
10x−25
12x−27=10x−25
Move the expression to the left side
12x−27−(10x−25)=0
Calculate
More Steps

Add the terms
12x−27−(10x−25)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
12x−27−10x+25
Subtract the terms
More Steps

Evaluate
12x−10x
Collect like terms by calculating the sum or difference of their coefficients
(12−10)x
Subtract the numbers
2x
2x−27+25
Add the numbers
2x−2
2x−2=0
Move the constant to the right-hand side and change its sign
2x=0+2
Removing 0 doesn't change the value,so remove it from the expression
2x=2
Divide both sides
22x=22
Divide the numbers
x=22
Solution
More Steps

Evaluate
22
Reduce the numbers
11
Calculate
1
x=1
Show Solution

Rewrite the equation
x=1
Evaluate
3(4x−9)=5(2x−5)
Multiply
More Steps

Evaluate
3(4x−9)
Apply the distributive property
3×4x−3×9
Multiply the numbers
12x−3×9
Multiply the numbers
12x−27
12x−27=5(2x−5)
Multiply
More Steps

Evaluate
5(2x−5)
Apply the distributive property
5×2x−5×5
Multiply the numbers
10x−5×5
Multiply the numbers
10x−25
12x−27=10x−25
Move the variable to the left side
2x−27=−25
Move the constant to the right side
2x=2
Solution
x=1
Show Solution
