Solve for x
x>\frac{11}{7}
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3\left(x-1\right)+2\left(2x-1\right)>6
Multiply both sides of the equation by 6, the least common multiple of 2,3. Since 6 is positive, the inequality direction remains the same.
3x-3+2\left(2x-1\right)>6
Use the distributive property to multiply 3 by x-1.
3x-3+4x-2>6
Use the distributive property to multiply 2 by 2x-1.
7x-3-2>6
Combine 3x and 4x to get 7x.
7x-5>6
Subtract 2 from -3 to get -5.
7x>6+5
Add 5 to both sides.
7x>11
Add 6 and 5 to get 11.
x>\frac{11}{7}
Divide both sides by 7. Since 7 is positive, the inequality direction remains the same.
Examples
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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699 * 533
Matrix
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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
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Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}