Solve for x
x=1
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3\left(x+6\right)+7\left(x+2\right)=42
Multiply both sides of the equation by 21, the least common multiple of 7,3.
3x+18+7\left(x+2\right)=42
Use the distributive property to multiply 3 by x+6.
3x+18+7x+14=42
Use the distributive property to multiply 7 by x+2.
10x+18+14=42
Combine 3x and 7x to get 10x.
10x+32=42
Add 18 and 14 to get 32.
10x=42-32
Subtract 32 from both sides.
10x=10
Subtract 32 from 42 to get 10.
x=\frac{10}{10}
Divide both sides by 10.
x=1
Divide 10 by 10 to get 1.
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