Solve (2x-1)/2=4-(x-1)/5

$$\frac { ( 2 x - 1 ) } { 2 } = 4 - \frac { ( x - 1 ) } { 5 }$$

Solve for x

$$x = \frac{47}{12} = 3\frac{11}{12} \approx 3.916666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 2,5.

$$5\left(2x-1\right)=40-2\left(x-1\right)$$

Use the distributive property to multiply 5 by 2x-1.

$$10x-5=40-2\left(x-1\right)$$

Use the distributive property to multiply -2 by x-1.

$$10x-5=40-2x+2$$

Add 40 and 2 to get 42.

$$10x-5=42-2x$$

Add 2x to both sides.

$$10x-5+2x=42$$

Combine 10x and 2x to get 12x.

$$12x-5=42$$

Add 5 to both sides.

$$12x=42+5$$

Add 42 and 5 to get 47.

$$12x=47$$

Divide both sides by 12.

$$x=\frac{47}{12}$$