Question
Solve the equation
x=1
Evaluate
6(3x−1)=8−(10x−14)
Subtract the terms
More Steps

Evaluate
8−(10x−14)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
8−10x+14
Add the numbers
22−10x
6(3x−1)=22−10x
Expand the expression
More Steps

Evaluate
6(3x−1)
Apply the distributive property
6×3x−6×1
Multiply the numbers
18x−6×1
Any expression multiplied by 1 remains the same
18x−6
18x−6=22−10x
Move the expression to the left side
18x−6+10x=22
Move the expression to the right side
18x+10x=22+6
Add and subtract
More Steps

Evaluate
18x+10x
Collect like terms by calculating the sum or difference of their coefficients
(18+10)x
Add the numbers
28x
28x=22+6
Add and subtract
28x=28
Divide both sides
2828x=2828
Divide the numbers
x=2828
Solution
More Steps

Evaluate
2828
Reduce the numbers
11
Calculate
1
x=1
Show Solution

Rewrite the equation
x=1
Evaluate
6(3x−1)=8−(10x−14)
Evaluate
More Steps

Evaluate
8−(10x−14)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
8−10x+14
Add the numbers
22−10x
6(3x−1)=22−10x
Multiply
More Steps

Evaluate
6(3x−1)
Apply the distributive property
6×3x−6×1
Multiply the numbers
18x−6×1
Any expression multiplied by 1 remains the same
18x−6
18x−6=22−10x
Move the variable to the left side
28x−6=22
Move the constant to the right side
28x=28
Solution
x=1
Show Solution
