Solve 2x-5/9-x-1/4+4=5/2

$$\frac { 2 x - 5 } { 9 } - \frac { x - 1 } { 4 } + 4 = \frac { 5 } { 2 }$$

Solve for x

$$x=43$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 36, the least common multiple of 9,4,2.

$$4\left(2x-5\right)-9\left(x-1\right)+144=90$$

Use the distributive property to multiply 4 by 2x-5.

$$8x-20-9\left(x-1\right)+144=90$$

Use the distributive property to multiply -9 by x-1.

$$8x-20-9x+9+144=90$$

Combine 8x and -9x to get -x.

$$-x-20+9+144=90$$

Add -20 and 9 to get -11.

$$-x-11+144=90$$

Add -11 and 144 to get 133.

$$-x+133=90$$

Subtract 133 from both sides.

$$-x=90-133$$

Subtract 133 from 90 to get -43.

$$-x=-43$$

Multiply both sides by -1.

$$x=43$$