Solve for x
x\leq 2
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3\left(x-2\right)\leq 2\left(7+x\right)-18
Multiply both sides of the equation by 6, the least common multiple of 2,3. Since 6 is positive, the inequality direction remains the same.
3x-6\leq 2\left(7+x\right)-18
Use the distributive property to multiply 3 by x-2.
3x-6\leq 14+2x-18
Use the distributive property to multiply 2 by 7+x.
3x-6\leq -4+2x
Subtract 18 from 14 to get -4.
3x-6-2x\leq -4
Subtract 2x from both sides.
x-6\leq -4
Combine 3x and -2x to get x.
x\leq -4+6
Add 6 to both sides.
x\leq 2
Add -4 and 6 to get 2.
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