Solve for X
X=3
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3\left(2X-3\right)+2\left(4X-2\right)-\left(5X+4\right)=10
Multiply both sides of the equation by 6, the least common multiple of 2,3,6.
6X-9+2\left(4X-2\right)-\left(5X+4\right)=10
Use the distributive property to multiply 3 by 2X-3.
6X-9+8X-4-\left(5X+4\right)=10
Use the distributive property to multiply 2 by 4X-2.
14X-9-4-\left(5X+4\right)=10
Combine 6X and 8X to get 14X.
14X-13-\left(5X+4\right)=10
Subtract 4 from -9 to get -13.
14X-13-5X-4=10
To find the opposite of 5X+4, find the opposite of each term.
9X-13-4=10
Combine 14X and -5X to get 9X.
9X-17=10
Subtract 4 from -13 to get -17.
9X=10+17
Add 17 to both sides.
9X=27
Add 10 and 17 to get 27.
X=\frac{27}{9}
Divide both sides by 9.
X=3
Divide 27 by 9 to get 3.
Examples
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y = 3x + 4
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Matrix
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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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