Solve for x
x\leq 14
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12-\left(1-3x\right)\geq 3\left(2x-1\right)-28
Multiply both sides of the equation by 6, the least common multiple of 6,2,3. Since 6 is positive, the inequality direction remains the same.
12-1-\left(-3x\right)\geq 3\left(2x-1\right)-28
To find the opposite of 1-3x, find the opposite of each term.
12-1+3x\geq 3\left(2x-1\right)-28
The opposite of -3x is 3x.
11+3x\geq 3\left(2x-1\right)-28
Subtract 1 from 12 to get 11.
11+3x\geq 6x-3-28
Use the distributive property to multiply 3 by 2x-1.
11+3x\geq 6x-31
Subtract 28 from -3 to get -31.
11+3x-6x\geq -31
Subtract 6x from both sides.
11-3x\geq -31
Combine 3x and -6x to get -3x.
-3x\geq -31-11
Subtract 11 from both sides.
-3x\geq -42
Subtract 11 from -31 to get -42.
x\leq \frac{-42}{-3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.
x\leq 14
Divide -42 by -3 to get 14.
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Simultaneous equation
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Integration
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Limits
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