Question
Solve the equation
Solve for x
x=−2
Evaluate
5(x+2)=16−4(x+6)
Calculate
More Steps

Evaluate
5(x+2)
Apply the distributive property
5x+5×2
Multiply the numbers
5x+10
5x+10=16−4(x+6)
Calculate
More Steps

Evaluate
16−4(x+6)
Expand the expression
More Steps

Calculate
−4(x+6)
Apply the distributive property
−4x−4×6
Multiply the numbers
−4x−24
16−4x−24
Subtract the numbers
−8−4x
5x+10=−8−4x
Move the expression to the left side
5x+10−(−8−4x)=0
Calculate the sum or difference
More Steps

Add the terms
5x+10−(−8−4x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
5x+10+8+4x
Add the terms
More Steps

Evaluate
5x+4x
Collect like terms by calculating the sum or difference of their coefficients
(5+4)x
Add the numbers
9x
9x+10+8
Add the numbers
9x+18
9x+18=0
Move the constant to the right-hand side and change its sign
9x=0−18
Removing 0 doesn't change the value,so remove it from the expression
9x=−18
Divide both sides
99x=9−18
Divide the numbers
x=9−18
Solution
More Steps

Evaluate
9−18
Reduce the numbers
1−2
Calculate
−2
x=−2
Show Solution
Rewrite the equation
Rewrite in standard form
x=−2
Evaluate
5(x+2)=16−4(x+6)
Evaluate
More Steps

Evaluate
16−4(x+6)
Expand the expression
More Steps

Calculate
−4(x+6)
Apply the distributive property
−4x−4×6
Multiply the numbers
−4x−24
16−4x−24
Subtract the numbers
−8−4x
5(x+2)=−8−4x
Multiply
More Steps

Evaluate
5(x+2)
Apply the distributive property
5x+5×2
Multiply the numbers
5x+10
5x+10=−8−4x
Move the variable to the left side
9x+10=−8
Move the constant to the right side
9x=−18
Solution
x=−2
Show Solution