Question
Solve the equation
Solve for x
x=−6
Evaluate
4(2x−4)−5x+4=−30
Move the expression to the left side
4(2x−4)−5x+4−(−30)=0
Subtract the numbers
More Steps
Evaluate
4−(−30)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
4+30
Add the numbers
34
4(2x−4)−5x+34=0
Calculate the sum or difference
More Steps
Evaluate
4(2x−4)−5x+34
Expand the expression
More Steps
Calculate
4(2x−4)
Apply the distributive property
4×2x−4×4
Multiply the numbers
8x−4×4
Multiply the numbers
8x−16
8x−16−5x+34
Subtract the terms
More Steps
Evaluate
8x−5x
Collect like terms by calculating the sum or difference of their coefficients
(8−5)x
Subtract the numbers
3x
3x−16+34
Add the numbers
3x+18
3x+18=0
Move the constant to the right-hand side and change its sign
3x=0−18
Removing 0 doesn't change the value,so remove it from the expression
3x=−18
Divide both sides
33x=3−18
Divide the numbers
x=3−18
Solution
More Steps
Evaluate
3−18
Reduce the numbers
1−6
Calculate
−6
x=−6
Show Solution
Rewrite the equation
Rewrite in standard form
x=−6
Evaluate
4(2x−4)−5x+4=−30
Evaluate
More Steps
Evaluate
4(2x−4)−5x+4
Expand the expression
More Steps
Calculate
4(2x−4)
Apply the distributive property
4×2x−4×4
Multiply the numbers
8x−4×4
Multiply the numbers
8x−16
8x−16−5x+4
Subtract the terms
More Steps
Evaluate
8x−5x
Collect like terms by calculating the sum or difference of their coefficients
(8−5)x
Subtract the numbers
3x
3x−16+4
Add the numbers
3x−12
3x−12=−30
Move the constant to the right side
3x=−18
Solution
x=−6
Show Solution