Solve for x
x\leq 4
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Algebra
5 problems similar to:
\frac { x } { 4 } + \frac { 3 x - 2 } { 5 } \leq 1 + \frac { x } { 2 }
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5x+4\left(3x-2\right)\leq 20+10x
Multiply both sides of the equation by 20, the least common multiple of 4,5,2. Since 20 is positive, the inequality direction remains the same.
5x+12x-8\leq 20+10x
Use the distributive property to multiply 4 by 3x-2.
17x-8\leq 20+10x
Combine 5x and 12x to get 17x.
17x-8-10x\leq 20
Subtract 10x from both sides.
7x-8\leq 20
Combine 17x and -10x to get 7x.
7x\leq 20+8
Add 8 to both sides.
7x\leq 28
Add 20 and 8 to get 28.
x\leq \frac{28}{7}
Divide both sides by 7. Since 7 is positive, the inequality direction remains the same.
x\leq 4
Divide 28 by 7 to get 4.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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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}