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

Evaluate
3(5−x)
Apply the distributive property
3×5−3x
Multiply the numbers
15−3x
15−3x=2(9−3x)
Calculate
More Steps

Evaluate
2(9−3x)
Apply the distributive property
2×9−2×3x
Multiply the numbers
18−2×3x
Multiply the numbers
18−6x
15−3x=18−6x
Move the expression to the left side
15−3x−(18−6x)=0
Calculate
More Steps

Add the terms
15−3x−(18−6x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
15−3x−18+6x
Subtract the numbers
−3−3x+6x
Add the terms
More Steps

Evaluate
−3x+6x
Collect like terms by calculating the sum or difference of their coefficients
(−3+6)x
Add the numbers
3x
−3+3x
−3+3x=0
Move the constant to the right-hand side and change its sign
3x=0+3
Removing 0 doesn't change the value,so remove it from the expression
3x=3
Divide both sides
33x=33
Divide the numbers
x=33
Solution
More Steps

Evaluate
33
Reduce the numbers
11
Calculate
1
x=1
Show Solution

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

Evaluate
3(5−x)
Apply the distributive property
3×5−3x
Multiply the numbers
15−3x
15−3x=2(9−3x)
Multiply
More Steps

Evaluate
2(9−3x)
Apply the distributive property
2×9−2×3x
Multiply the numbers
18−2×3x
Multiply the numbers
18−6x
15−3x=18−6x
Move the variable to the left side
15+3x=18
Move the constant to the right side
3x=3
Solution
x=1
Show Solution
