Solve for x
x=4
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3\left(x-1\right)+2\left(x-1\right)-\left(x-1\right)=12
Multiply both sides of the equation by 6, the least common multiple of 2,3,6.
3x-3+2\left(x-1\right)-\left(x-1\right)=12
Use the distributive property to multiply 3 by x-1.
3x-3+2x-2-\left(x-1\right)=12
Use the distributive property to multiply 2 by x-1.
5x-3-2-\left(x-1\right)=12
Combine 3x and 2x to get 5x.
5x-5-\left(x-1\right)=12
Subtract 2 from -3 to get -5.
5x-5-x-\left(-1\right)=12
To find the opposite of x-1, find the opposite of each term.
5x-5-x+1=12
The opposite of -1 is 1.
4x-5+1=12
Combine 5x and -x to get 4x.
4x-4=12
Add -5 and 1 to get -4.
4x=12+4
Add 4 to both sides.
4x=16
Add 12 and 4 to get 16.
x=\frac{16}{4}
Divide both sides by 4.
x=4
Divide 16 by 4 to get 4.
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}