Solve for x
x<6
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2x<24-3\left(x-2\right)
Multiply both sides of the equation by 6, the least common multiple of 3,2. Since 6 is positive, the inequality direction remains the same.
2x<24-3x+6
Use the distributive property to multiply -3 by x-2.
2x<30-3x
Add 24 and 6 to get 30.
2x+3x<30
Add 3x to both sides.
5x<30
Combine 2x and 3x to get 5x.
x<\frac{30}{5}
Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.
x<6
Divide 30 by 5 to get 6.
Examples
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y = 3x + 4
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Matrix
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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