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3\left(x-5\right)=2\left(2+x\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3x-15=2\left(2+x\right)
Use the distributive property to multiply 3 by x-5.
3x-15=4+2x
Use the distributive property to multiply 2 by 2+x.
3x-15-2x=4
Subtract 2x from both sides.
x-15=4
Combine 3x and -2x to get x.
x=4+15
Add 15 to both sides.
x=19
Add 4 and 15 to get 19.