Solve for x
x = \frac{17}{8} = 2\frac{1}{8} = 2.125
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2\left(2x-3\right)+4x-1=10
Multiply both sides of the equation by 10, the least common multiple of 5,10.
4x-6+4x-1=10
Use the distributive property to multiply 2 by 2x-3.
8x-6-1=10
Combine 4x and 4x to get 8x.
8x-7=10
Subtract 1 from -6 to get -7.
8x=10+7
Add 7 to both sides.
8x=17
Add 10 and 7 to get 17.
x=\frac{17}{8}
Divide both sides by 8.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}