Solve for x
x=19
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2\left(3x-7\right)=5\left(x+1\right)
Variable x cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by 6\left(x+1\right), the least common multiple of 3x+3,6.
6x-14=5\left(x+1\right)
Use the distributive property to multiply 2 by 3x-7.
6x-14=5x+5
Use the distributive property to multiply 5 by x+1.
6x-14-5x=5
Subtract 5x from both sides.
x-14=5
Combine 6x and -5x to get x.
x=5+14
Add 14 to both sides.
x=19
Add 5 and 14 to get 19.
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