Solve for x
x=2
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10x-5=3\left(x+3\right)
Use the distributive property to multiply 5 by 2x-1.
10x-5=3x+9
Use the distributive property to multiply 3 by x+3.
10x-5-3x=9
Subtract 3x from both sides.
7x-5=9
Combine 10x and -3x to get 7x.
7x=9+5
Add 5 to both sides.
7x=14
Add 9 and 5 to get 14.
x=\frac{14}{7}
Divide both sides by 7.
x=2
Divide 14 by 7 to get 2.
Examples
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Linear equation
y = 3x + 4
Arithmetic
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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
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