Solve for x
x = \frac{16}{3} = 5\frac{1}{3} \approx 5.333333333
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4\left(x+2\right)-\left(x+1\right)=3\left(2x-3\right)
Multiply both sides of the equation by 12, the least common multiple of 3,12,4.
4x+8-\left(x+1\right)=3\left(2x-3\right)
Use the distributive property to multiply 4 by x+2.
4x+8-x-1=3\left(2x-3\right)
To find the opposite of x+1, find the opposite of each term.
3x+8-1=3\left(2x-3\right)
Combine 4x and -x to get 3x.
3x+7=3\left(2x-3\right)
Subtract 1 from 8 to get 7.
3x+7=6x-9
Use the distributive property to multiply 3 by 2x-3.
3x+7-6x=-9
Subtract 6x from both sides.
-3x+7=-9
Combine 3x and -6x to get -3x.
-3x=-9-7
Subtract 7 from both sides.
-3x=-16
Subtract 7 from -9 to get -16.
x=\frac{-16}{-3}
Divide both sides by -3.
x=\frac{16}{3}
Fraction \frac{-16}{-3} can be simplified to \frac{16}{3} by removing the negative sign from both the numerator and the denominator.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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}