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Question
\frac{7}{3}-\frac{3x+4}{21}=5
Solve the equation
x=-20
Evaluate
\frac{7}{3}-\frac{3x+4}{21}=5
Multiply both sides of the equation by LCD
\left(\frac{7}{3}-\frac{3x+4}{21}\right)\times 21=5\times 21
Simplify the equation
More Steps
Evaluate
\left(\frac{7}{3}-\frac{3x+4}{21}\right)\times 21
Apply the distributive property
\frac{7}{3}\times 21-\frac{3x+4}{21}\times 21
Simplify
7\times 7-3x-4
Multiply the numbers
49-3x-4
Subtract the numbers
45-3x
45-3x=5\times 21
Simplify the equation
45-3x=105
Move the constant to the right side
-3x=105-45
Subtract the numbers
-3x=60
Change the signs on both sides of the equation
3x=-60
Divide both sides
\frac{3x}{3}=\frac{-60}{3}
Divide the numbers
x=\frac{-60}{3}
Solution
More Steps
Evaluate
\frac{-60}{3}
Reduce the numbers
\frac{-20}{1}
Calculate
-20
x=-20
Show Solutions
Rewrite the equation
x=-20
Evaluate
\frac{7}{3}-\frac{3x+4}{21}=5
Rewrite the expression
More Steps
Evaluate
-\frac{3x+4}{21}
\text{Use }\frac{-a}{b}=\frac{a}{-b}=-\frac{a}{b}\text{ to rewrite the fraction}
\frac{-3x-4}{21}
Reduce the fraction
-\frac{1}{7}x-\frac{4}{21}
\frac{7}{3}-\frac{1}{7}x-\frac{4}{21}=5
Multiply both sides of the equation by LCD
45-3x=105
Move the constant to the right side
-3x=60
Multiply both sides
3x=-60
Solution
x=-20
Show Solutions
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