Solve 7(x+1)/9-3=2x

$$\frac { 7 ( x + 1 ) } { 9 } - 3 = 2 x$$

Solve for x

$$x = -\frac{20}{11} = -1\frac{9}{11} \approx -1.818181818$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 9.

$$7\left(x+1\right)-27=18x$$

Use the distributive property to multiply 7 by x+1.

$$7x+7-27=18x$$

Subtract 27 from 7 to get -20.

$$7x-20=18x$$

Subtract 18x from both sides.

$$7x-20-18x=0$$

Combine 7x and -18x to get -11x.

$$-11x-20=0$$

Add 20 to both sides. Anything plus zero gives itself.

$$-11x=20$$

Divide both sides by -11.

$$x=\frac{20}{-11}$$

Fraction \frac{20}{-11} can be rewritten as -\frac{20}{11} by extracting the negative sign.

$$x=-\frac{20}{11}$$