Question
Solve the equation
Solve for x
x=−1
Evaluate
−4(2x+5)+2x+3=−11
Move the expression to the left side
−4(2x+5)+2x+3−(−11)=0
Subtract the numbers
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Evaluate
3−(−11)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
3+11
Add the numbers
14
−4(2x+5)+2x+14=0
Calculate
More Steps
Evaluate
−4(2x+5)+2x+14
Expand the expression
More Steps
Calculate
−4(2x+5)
Apply the distributive property
−4×2x−4×5
Multiply the numbers
−8x−4×5
Multiply the numbers
−8x−20
−8x−20+2x+14
Add the terms
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Evaluate
−8x+2x
Collect like terms by calculating the sum or difference of their coefficients
(−8+2)x
Add the numbers
−6x
−6x−20+14
Add the numbers
−6x−6
−6x−6=0
Move the constant to the right-hand side and change its sign
−6x=0+6
Removing 0 doesn't change the value,so remove it from the expression
−6x=6
Change the signs on both sides of the equation
6x=−6
Divide both sides
66x=6−6
Divide the numbers
x=6−6
Solution
More Steps
Evaluate
6−6
Reduce the numbers
1−1
Calculate
−1
x=−1
Show Solution
Rewrite the equation
Rewrite in standard form
x=−1
Evaluate
−4(2x+5)+2x+3=−11
Evaluate
More Steps
Evaluate
−4(2x+5)+2x+3
Expand the expression
More Steps
Calculate
−4(2x+5)
Apply the distributive property
−4×2x−4×5
Multiply the numbers
−8x−4×5
Multiply the numbers
−8x−20
−8x−20+2x+3
Add the terms
More Steps
Evaluate
−8x+2x
Collect like terms by calculating the sum or difference of their coefficients
(−8+2)x
Add the numbers
−6x
−6x−20+3
Add the numbers
−6x−17
−6x−17=−11
Move the constant to the right side
−6x=6
Multiply both sides
6x=−6
Solution
x=−1
Show Solution