Solve for x
x = \frac{13}{2} = 6\frac{1}{2} = 6.5
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4x+7=\frac{3}{2}\times 2x+\frac{3}{2}\times 9
Use the distributive property to multiply \frac{3}{2} by 2x+9.
4x+7=3x+\frac{3}{2}\times 9
Cancel out 2 and 2.
4x+7=3x+\frac{3\times 9}{2}
Express \frac{3}{2}\times 9 as a single fraction.
4x+7=3x+\frac{27}{2}
Multiply 3 and 9 to get 27.
4x+7-3x=\frac{27}{2}
Subtract 3x from both sides.
x+7=\frac{27}{2}
Combine 4x and -3x to get x.
x=\frac{27}{2}-7
Subtract 7 from both sides.
x=\frac{27}{2}-\frac{14}{2}
Convert 7 to fraction \frac{14}{2}.
x=\frac{27-14}{2}
Since \frac{27}{2} and \frac{14}{2} have the same denominator, subtract them by subtracting their numerators.
x=\frac{13}{2}
Subtract 14 from 27 to get 13.
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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