Solve for x
x\leq \frac{80}{7}
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12x-5\left(x-4\right)\leq 100
Multiply both sides of the equation by 20, the least common multiple of 5,4. Since 20 is positive, the inequality direction remains the same.
12x-5x+20\leq 100
Use the distributive property to multiply -5 by x-4.
7x+20\leq 100
Combine 12x and -5x to get 7x.
7x\leq 100-20
Subtract 20 from both sides.
7x\leq 80
Subtract 20 from 100 to get 80.
x\leq \frac{80}{7}
Divide both sides by 7. Since 7 is positive, the inequality direction remains the same.
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