Solve for x
x\leq -\frac{32}{11}
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6\left(2x+4\right)\leq x-8
Multiply both sides of the equation by 3. Since 3 is positive, the inequality direction remains the same.
12x+24\leq x-8
Use the distributive property to multiply 6 by 2x+4.
12x+24-x\leq -8
Subtract x from both sides.
11x+24\leq -8
Combine 12x and -x to get 11x.
11x\leq -8-24
Subtract 24 from both sides.
11x\leq -32
Subtract 24 from -8 to get -32.
x\leq -\frac{32}{11}
Divide both sides by 11. Since 11 is positive, the inequality direction remains the same.
Examples
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Linear equation
y = 3x + 4
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Matrix
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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