Solve for x
x = \frac{13}{10} = 1\frac{3}{10} = 1.3
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3\left(x+2\right)+6\left(x-4\right)-4\left(x-3\right)=x+1-6\left(x-1\right)
Multiply both sides of the equation by 12, the least common multiple of 4,2,3,12.
3x+6+6\left(x-4\right)-4\left(x-3\right)=x+1-6\left(x-1\right)
Use the distributive property to multiply 3 by x+2.
3x+6+6x-24-4\left(x-3\right)=x+1-6\left(x-1\right)
Use the distributive property to multiply 6 by x-4.
9x+6-24-4\left(x-3\right)=x+1-6\left(x-1\right)
Combine 3x and 6x to get 9x.
9x-18-4\left(x-3\right)=x+1-6\left(x-1\right)
Subtract 24 from 6 to get -18.
9x-18-4x+12=x+1-6\left(x-1\right)
Use the distributive property to multiply -4 by x-3.
5x-18+12=x+1-6\left(x-1\right)
Combine 9x and -4x to get 5x.
5x-6=x+1-6\left(x-1\right)
Add -18 and 12 to get -6.
5x-6=x+1-6x+6
Use the distributive property to multiply -6 by x-1.
5x-6=-5x+1+6
Combine x and -6x to get -5x.
5x-6=-5x+7
Add 1 and 6 to get 7.
5x-6+5x=7
Add 5x to both sides.
10x-6=7
Combine 5x and 5x to get 10x.
10x=7+6
Add 6 to both sides.
10x=13
Add 7 and 6 to get 13.
x=\frac{13}{10}
Divide both sides by 10.
Examples
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{ 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}