Solve for x
x=-1
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3\left(3x-1\right)-12=2\left(5x-7\right)
Multiply both sides of the equation by 12, the least common multiple of 4,6.
9x-3-12=2\left(5x-7\right)
Use the distributive property to multiply 3 by 3x-1.
9x-15=2\left(5x-7\right)
Subtract 12 from -3 to get -15.
9x-15=10x-14
Use the distributive property to multiply 2 by 5x-7.
9x-15-10x=-14
Subtract 10x from both sides.
-x-15=-14
Combine 9x and -10x to get -x.
-x=-14+15
Add 15 to both sides.
-x=1
Add -14 and 15 to get 1.
x=-1
Multiply both sides by -1.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}