Solve for x
x = \frac{42}{13} = 3\frac{3}{13} \approx 3.230769231
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5\left(3x-2\right)=2\left(x+1\right)+30
Multiply both sides of the equation by 10, the least common multiple of 2,5.
15x-10=2\left(x+1\right)+30
Use the distributive property to multiply 5 by 3x-2.
15x-10=2x+2+30
Use the distributive property to multiply 2 by x+1.
15x-10=2x+32
Add 2 and 30 to get 32.
15x-10-2x=32
Subtract 2x from both sides.
13x-10=32
Combine 15x and -2x to get 13x.
13x=32+10
Add 10 to both sides.
13x=42
Add 32 and 10 to get 42.
x=\frac{42}{13}
Divide both sides by 13.
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