Question
Solve the equation
x=2
Evaluate
3x+2(2x−6)=2
Move the expression to the left side
3x+2(2x−6)−2=0
Calculate the sum or difference
More Steps

Evaluate
3x+2(2x−6)−2
Expand the expression
More Steps

Calculate
2(2x−6)
Apply the distributive property
2×2x−2×6
Multiply the numbers
4x−2×6
Multiply the numbers
4x−12
3x+4x−12−2
Add the terms
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Evaluate
3x+4x
Collect like terms by calculating the sum or difference of their coefficients
(3+4)x
Add the numbers
7x
7x−12−2
Subtract the numbers
7x−14
7x−14=0
Move the constant to the right-hand side and change its sign
7x=0+14
Removing 0 doesn't change the value,so remove it from the expression
7x=14
Divide both sides
77x=714
Divide the numbers
x=714
Solution
More Steps

Evaluate
714
Reduce the numbers
12
Calculate
2
x=2
Show Solution

Rewrite the equation
x=2
Evaluate
3x+2(2x−6)=2
Evaluate
More Steps

Evaluate
3x+2(2x−6)
Expand the expression
More Steps

Calculate
2(2x−6)
Apply the distributive property
2×2x−2×6
Multiply the numbers
4x−2×6
Multiply the numbers
4x−12
3x+4x−12
Add the terms
More Steps

Evaluate
3x+4x
Collect like terms by calculating the sum or difference of their coefficients
(3+4)x
Add the numbers
7x
7x−12
7x−12=2
Move the constant to the right side
7x=14
Solution
x=2
Show Solution
