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x-7+2x=2\left(x+4\right)
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2x, the least common multiple of 2x,x.
3x-7=2\left(x+4\right)
Combine x and 2x to get 3x.
3x-7=2x+8
Use the distributive property to multiply 2 by x+4.
3x-7-2x=8
Subtract 2x from both sides.
x-7=8
Combine 3x and -2x to get x.
x=8+7
Add 7 to both sides.
x=15
Add 8 and 7 to get 15.