Solve for x
x = \frac{29}{10} = 2\frac{9}{10} = 2.9
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7\left(x+1\right)+3\left(x+2\right)=42
Multiply both sides of the equation by 21, the least common multiple of 3,7.
7x+7+3\left(x+2\right)=42
Use the distributive property to multiply 7 by x+1.
7x+7+3x+6=42
Use the distributive property to multiply 3 by x+2.
10x+7+6=42
Combine 7x and 3x to get 10x.
10x+13=42
Add 7 and 6 to get 13.
10x=42-13
Subtract 13 from both sides.
10x=29
Subtract 13 from 42 to get 29.
x=\frac{29}{10}
Divide both sides by 10.
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