Solve 4(x+1)-3/5=2x-9/7

$$\frac { 4 ( x + 1 ) - 3 } { 5 } = \frac { 2 x - 9 } { 7 }$$

Solve for x

$$x = -\frac{26}{9} = -2\frac{8}{9} \approx -2.888888889$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 35, the least common multiple of 5,7.

$$7\left(4\left(x+1\right)-3\right)=5\left(2x-9\right)$$

Use the distributive property to multiply 4 by x+1.

$$7\left(4x+4-3\right)=5\left(2x-9\right)$$

Subtract 3 from 4 to get 1.

$$7\left(4x+1\right)=5\left(2x-9\right)$$

Use the distributive property to multiply 7 by 4x+1.

$$28x+7=5\left(2x-9\right)$$

Use the distributive property to multiply 5 by 2x-9.

$$28x+7=10x-45$$

Subtract 10x from both sides.

$$28x+7-10x=-45$$

Combine 28x and -10x to get 18x.

$$18x+7=-45$$

Subtract 7 from both sides.

$$18x=-45-7$$

Subtract 7 from -45 to get -52.

$$18x=-52$$

Divide both sides by 18.

$$x=\frac{-52}{18}$$

Reduce the fraction \frac{-52}{18} to lowest terms by extracting and canceling out 2.

$$x=-\frac{26}{9}$$