Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x=−4
Evaluate
21x=8x−4(5−2x)
Move the expression to the left side
21x−(8x−4(5−2x))=0
Subtract the terms
More Steps
Evaluate
21x−(8x−4(5−2x))
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
21x−8x+4(5−2x)
Subtract the terms
More Steps
Evaluate
21x−8x
Collect like terms by calculating the sum or difference of their coefficients
(21−8)x
Subtract the numbers
13x
13x+4(5−2x)
13x+4(5−2x)=0
Calculate
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Evaluate
13x+4(5−2x)
Expand the expression
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Calculate
4(5−2x)
Apply the distributive property
4×5−4×2x
Multiply the numbers
20−4×2x
Multiply the numbers
20−8x
13x+20−8x
Subtract the terms
More Steps
Evaluate
13x−8x
Collect like terms by calculating the sum or difference of their coefficients
(13−8)x
Subtract the numbers
5x
5x+20
5x+20=0
Move the constant to the right-hand side and change its sign
5x=0−20
Removing 0 doesn't change the value,so remove it from the expression
5x=−20
Divide both sides
55x=5−20
Divide the numbers
x=5−20
Solution
More Steps
Evaluate
5−20
Reduce the numbers
1−4
Calculate
−4
x=−4
Show Solution
Rewrite the equation
x=−4
Evaluate
21x=8x−4(5−2x)
Evaluate
More Steps
Evaluate
8x−4(5−2x)
Expand the expression
More Steps
Calculate
−4(5−2x)
Apply the distributive property
−4×5−(−4×2x)
Multiply the numbers
−20−(−4×2x)
Multiply the numbers
−20−(−8x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−20+8x
8x−20+8x
Add the terms
More Steps
Evaluate
8x+8x
Collect like terms by calculating the sum or difference of their coefficients
(8+8)x
Add the numbers
16x
16x−20
21x=16x−20
Move the variable to the left side
5x=−20
Solution
x=−4
Show Solution
Graph
