Solve for x
x=2
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2\left(x+7\right)-\left(x+4\right)=4\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 4\left(x+1\right), the least common multiple of 2x+2,4x+4.
2x+14-\left(x+4\right)=4\left(x+1\right)
Use the distributive property to multiply 2 by x+7.
2x+14-x-4=4\left(x+1\right)
To find the opposite of x+4, find the opposite of each term.
x+14-4=4\left(x+1\right)
Combine 2x and -x to get x.
x+10=4\left(x+1\right)
Subtract 4 from 14 to get 10.
x+10=4x+4
Use the distributive property to multiply 4 by x+1.
x+10-4x=4
Subtract 4x from both sides.
-3x+10=4
Combine x and -4x to get -3x.
-3x=4-10
Subtract 10 from both sides.
-3x=-6
Subtract 10 from 4 to get -6.
x=\frac{-6}{-3}
Divide both sides by -3.
x=2
Divide -6 by -3 to get 2.
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