Solve (2x-5)/4=3-(x-4)

$$\frac { ( 2 x - 5 ) } { 4 } = 3 - ( x - 4 )$$

Solve for x

$$x = \frac{11}{2} = 5\frac{1}{2} = 5.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4.

$$2x-5=12-4\left(x-4\right)$$

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

$$2x-5=12-4x+16$$

Add 12 and 16 to get 28.

$$2x-5=28-4x$$

Add 4x to both sides.

$$2x-5+4x=28$$

Combine 2x and 4x to get 6x.

$$6x-5=28$$

Add 5 to both sides.

$$6x=28+5$$

Add 28 and 5 to get 33.

$$6x=33$$

Divide both sides by 6.

$$x=\frac{33}{6}$$

Reduce the fraction \frac{33}{6} to lowest terms by extracting and canceling out 3.

$$x=\frac{11}{2}$$