Solve 5(x+1)-4/8=7x-1/11

$$\frac { 5 ( x + 1 ) - 4 } { 8 } = \frac { 7 x - 1 } { 11 }$$

Solve for x

$$x=19$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 88, the least common multiple of 8,11.

$$11\left(5\left(x+1\right)-4\right)=8\left(7x-1\right)$$

Use the distributive property to multiply 5 by x+1.

$$11\left(5x+5-4\right)=8\left(7x-1\right)$$

Subtract 4 from 5 to get 1.

$$11\left(5x+1\right)=8\left(7x-1\right)$$

Use the distributive property to multiply 11 by 5x+1.

$$55x+11=8\left(7x-1\right)$$

Use the distributive property to multiply 8 by 7x-1.

$$55x+11=56x-8$$

Subtract 56x from both sides.

$$55x+11-56x=-8$$

Combine 55x and -56x to get -x.

$$-x+11=-8$$

Subtract 11 from both sides.

$$-x=-8-11$$

Subtract 11 from -8 to get -19.

$$-x=-19$$

Multiply both sides by -1.

$$x=19$$