Solve for x
x=7
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3\left(2x-3\right)=4x+5
Variable x cannot be equal to -\frac{5}{4} since division by zero is not defined. Multiply both sides of the equation by 3\left(4x+5\right), the least common multiple of 4x+5,3.
6x-9=4x+5
Use the distributive property to multiply 3 by 2x-3.
6x-9-4x=5
Subtract 4x from both sides.
2x-9=5
Combine 6x and -4x to get 2x.
2x=5+9
Add 9 to both sides.
2x=14
Add 5 and 9 to get 14.
x=\frac{14}{2}
Divide both sides by 2.
x=7
Divide 14 by 2 to get 7.
Examples
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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