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

Evaluate
2(3x−4)
Apply the distributive property
2×3x−2×4
Multiply the numbers
6x−2×4
Multiply the numbers
6x−8
6x−8=3x−14
Move the expression to the left side
6x−8−3x=−14
Move the expression to the right side
6x−3x=−14+8
Add and subtract
More Steps

Evaluate
6x−3x
Collect like terms by calculating the sum or difference of their coefficients
(6−3)x
Subtract the numbers
3x
3x=−14+8
Add and subtract
3x=−6
Divide both sides
33x=3−6
Divide the numbers
x=3−6
Solution
More Steps

Evaluate
3−6
Reduce the numbers
1−2
Calculate
−2
x=−2
Show Solution

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

Evaluate
2(3x−4)
Apply the distributive property
2×3x−2×4
Multiply the numbers
6x−2×4
Multiply the numbers
6x−8
6x−8=3x−14
Move the variable to the left side
3x−8=−14
Move the constant to the right side
3x=−6
Solution
x=−2
Show Solution
