Solve for x
x=-\frac{1}{7}\approx -0.142857143
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6\left(x-1\right)+4\left(x+1\right)=3\left(x-1\right)
Multiply both sides of the equation by 12, the least common multiple of 2,3,4.
6x-6+4\left(x+1\right)=3\left(x-1\right)
Use the distributive property to multiply 6 by x-1.
6x-6+4x+4=3\left(x-1\right)
Use the distributive property to multiply 4 by x+1.
10x-6+4=3\left(x-1\right)
Combine 6x and 4x to get 10x.
10x-2=3\left(x-1\right)
Add -6 and 4 to get -2.
10x-2=3x-3
Use the distributive property to multiply 3 by x-1.
10x-2-3x=-3
Subtract 3x from both sides.
7x-2=-3
Combine 10x and -3x to get 7x.
7x=-3+2
Add 2 to both sides.
7x=-1
Add -3 and 2 to get -1.
x=\frac{-1}{7}
Divide both sides by 7.
x=-\frac{1}{7}
Fraction \frac{-1}{7} can be rewritten as -\frac{1}{7} by extracting the negative sign.
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}