Question
Solve the equation
x=14
Evaluate
4(x−5)=3(x−2)
Calculate
More Steps

Evaluate
4(x−5)
Apply the distributive property
4x−4×5
Multiply the numbers
4x−20
4x−20=3(x−2)
Calculate
More Steps

Evaluate
3(x−2)
Apply the distributive property
3x−3×2
Multiply the numbers
3x−6
4x−20=3x−6
Move the expression to the left side
4x−20−(3x−6)=0
Calculate
More Steps

Add the terms
4x−20−(3x−6)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
4x−20−3x+6
Subtract the terms
More Steps

Evaluate
4x−3x
Collect like terms by calculating the sum or difference of their coefficients
(4−3)x
Subtract the numbers
x
x−20+6
Add the numbers
x−14
x−14=0
Move the constant to the right-hand side and change its sign
x=0+14
Solution
x=14
Show Solution

Rewrite the equation
x=14
Evaluate
4(x−5)=3(x−2)
Multiply
More Steps

Evaluate
4(x−5)
Apply the distributive property
4x−4×5
Multiply the numbers
4x−20
4x−20=3(x−2)
Multiply
More Steps

Evaluate
3(x−2)
Apply the distributive property
3x−3×2
Multiply the numbers
3x−6
4x−20=3x−6
Move the variable to the left side
x−20=−6
Solution
x=14
Show Solution
