Solve 7x/8-5(x-9)=(20x+1,5)/6

$$\frac { 7 x } { 8 } - 5 ( x - 9 ) = \frac { ( 20 x + 1,5 ) } { 6 }$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 24, the least common multiple of 8;6.

$$3\times 7x-120\left(x-9\right)=4\left(20x+1,5\right)$$

Multiply 3 and 7 to get 21.

$$21x-120\left(x-9\right)=4\left(20x+1,5\right)$$

Use the distributive property to multiply -120 by x-9.

$$21x-120x+1080=4\left(20x+1,5\right)$$

Combine 21x and -120x to get -99x.

$$-99x+1080=4\left(20x+1,5\right)$$

Use the distributive property to multiply 4 by 20x+1,5.

$$-99x+1080=80x+6$$

Subtract 80x from both sides.

$$-99x+1080-80x=6$$

Combine -99x and -80x to get -179x.

$$-179x+1080=6$$

Subtract 1080 from both sides.

$$-179x=6-1080$$

Subtract 1080 from 6 to get -1074.

$$-179x=-1074$$

Divide both sides by -179.

$$x=\frac{-1074}{-179}$$

Divide -1074 by -179 to get 6.

$$x=6$$