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4x-7\leq 3x+12
Multiply both sides of the equation by 12, the least common multiple of 3,12,4. Since 12 is positive, the inequality direction remains the same.
4x-7-3x\leq 12
Subtract 3x from both sides.
x-7\leq 12
Combine 4x and -3x to get x.
x\leq 12+7
Add 7 to both sides.
x\leq 19
Add 12 and 7 to get 19.