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Question

16=\frac{7}{6}\left(4x+18\right)
Solve the equation
x=-\frac{15}{14}
Alternative Form
x=-1.0\dot{7}1428\dot{5}
Evaluate
16=\frac{7}{6}\left(4x+18\right)
Multiply the terms
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Evaluate
\frac{7}{6}\left(4x+18\right)
Apply the distributive property
\frac{7}{6}\times 4x+\frac{7}{6}\times 18
Multiply the numbers
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Evaluate
\frac{7}{6}\times 4
Reduce the numbers
\frac{7}{3}\times 2
Multiply the numbers
\frac{7\times 2}{3}
Multiply the numbers
\frac{14}{3}
\frac{14}{3}x+\frac{7}{6}\times 18
Multiply the numbers
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Evaluate
\frac{7}{6}\times 18
Reduce the numbers
7\times 3
Multiply the numbers
21
\frac{14}{3}x+21
16=\frac{14}{3}x+21
Swap the sides of the equation
\frac{14}{3}x+21=16
Move the constant to the right-hand side and change its sign
\frac{14}{3}x=16-21
Subtract the numbers
\frac{14}{3}x=-5
Multiply by the reciprocal
\frac{14}{3}x\times \frac{3}{14}=-5\times \frac{3}{14}
Multiply
x=-5\times \frac{3}{14}
Solution
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Evaluate
-5\times \frac{3}{14}
Multiply the numbers
-\frac{5\times 3}{14}
Multiply the numbers
-\frac{15}{14}
x=-\frac{15}{14}
Alternative Form
x=-1.0\dot{7}1428\dot{5}
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Rewrite the equation
14x=-15
Evaluate
16=\frac{7}{6}\left(4x+18\right)
Evaluate
More Steps Hide Steps
Evaluate
\frac{7}{6}\left(4x+18\right)
Apply the distributive property
\frac{7}{6}\times 4x+\frac{7}{6}\times 18
Multiply the numbers
More Steps Hide Steps
Evaluate
\frac{7}{6}\times 4
Reduce the numbers
\frac{7}{3}\times 2
Multiply the numbers
\frac{7\times 2}{3}
Multiply the numbers
\frac{14}{3}
\frac{14}{3}x+\frac{7}{6}\times 18
Multiply the numbers
More Steps Hide Steps
Evaluate
\frac{7}{6}\times 18
Reduce the numbers
7\times 3
Multiply the numbers
21
\frac{14}{3}x+21
16=\frac{14}{3}x+21
Multiply both sides of the equation by LCD
48=14x+63
Rewrite the expression
14x+63=48
Solution
14x=-15
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