Question
Solve the equation
x=−6
Evaluate
2x+(38+x)×3=84
Multiply the terms
2x+3(38+x)=84
Move the expression to the left side
2x+3(38+x)−84=0
Calculate the sum or difference
More Steps

Evaluate
2x+3(38+x)−84
Expand the expression
More Steps

Calculate
3(38+x)
Apply the distributive property
3×38+3x
Multiply the numbers
114+3x
2x+114+3x−84
Add the terms
More Steps

Evaluate
2x+3x
Collect like terms by calculating the sum or difference of their coefficients
(2+3)x
Add the numbers
5x
5x+114−84
Subtract the numbers
5x+30
5x+30=0
Move the constant to the right-hand side and change its sign
5x=0−30
Removing 0 doesn't change the value,so remove it from the expression
5x=−30
Divide both sides
55x=5−30
Divide the numbers
x=5−30
Solution
More Steps

Evaluate
5−30
Reduce the numbers
1−6
Calculate
−6
x=−6
Show Solution

Rewrite the equation
x=−6
Evaluate
2x+(38+x)×3=84
Evaluate
More Steps

Evaluate
2x+(38+x)×3
Multiply the terms
2x+3(38+x)
Expand the expression
More Steps

Calculate
3(38+x)
Apply the distributive property
3×38+3x
Multiply the numbers
114+3x
2x+114+3x
Add the terms
More Steps

Evaluate
2x+3x
Collect like terms by calculating the sum or difference of their coefficients
(2+3)x
Add the numbers
5x
5x+114
5x+114=84
Move the constant to the right side
5x=−30
Solution
x=−6
Show Solution
