Solve for x
x\geq -\frac{36}{7}
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-24-3x\leq 12+4x
Multiply both sides of the equation by 12, the least common multiple of 4,3. Since 12 is positive, the inequality direction remains the same.
-24-3x-4x\leq 12
Subtract 4x from both sides.
-24-7x\leq 12
Combine -3x and -4x to get -7x.
-7x\leq 12+24
Add 24 to both sides.
-7x\leq 36
Add 12 and 24 to get 36.
x\geq -\frac{36}{7}
Divide both sides by -7. Since -7 is negative, the inequality direction is changed.
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