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Question

2\left(-x-8\right)=21x-7
Solve the equation
x=-\frac{9}{23}
Alternative Form
x\approx -0.391304
Evaluate
2\left(-x-8\right)=21x-7
Expand the expression
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Evaluate
2\left(-x-8\right)
Apply the distributive property
2\left(-x\right)-2\times 8
Multiply the numbers
-2x-2\times 8
Multiply the numbers
-2x-16
-2x-16=21x-7
Move the expression to the left side
-2x-16-21x=-7
Move the expression to the right side
-2x-21x=-7+16
Add and subtract
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Evaluate
-2x-21x
Collect like terms by calculating the sum or difference of their coefficients
\left(-2-21\right)x
Subtract the numbers
-23x
-23x=-7+16
Add and subtract
-23x=9
Change the signs on both sides of the equation
23x=-9
Divide both sides
\frac{23x}{23}=\frac{-9}{23}
Divide the numbers
x=\frac{-9}{23}
Solution
x=-\frac{9}{23}
Alternative Form
x\approx -0.391304
Show Solutions
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Rewrite the equation
23x=-9
Evaluate
2\left(-x-8\right)=21x-7
Multiply
More Steps Hide Steps
Evaluate
2\left(-x-8\right)
Apply the distributive property
2\left(-x\right)-2\times 8
Multiply the numbers
-2x-2\times 8
Multiply the numbers
-2x-16
-2x-16=21x-7
Move the variable to the left side
-23x-16=-7
Move the constant to the right side
-23x=9
Solution
23x=-9
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