Solve x+6=11/4-3(x-3)/2

$$x + 6 = \frac { 11 } { 4 } - \frac { 3 ( x - 3 ) } { 2 }$$

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

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

$$4x+24=11-2\times 3\left(x-3\right)$$

Multiply -2 and 3 to get -6.

$$4x+24=11-6\left(x-3\right)$$

Use the distributive property to multiply -6 by x-3.

$$4x+24=11-6x+18$$

Add 11 and 18 to get 29.

$$4x+24=29-6x$$

Add 6x to both sides.

$$4x+24+6x=29$$

Combine 4x and 6x to get 10x.

$$10x+24=29$$

Subtract 24 from both sides.

$$10x=29-24$$

Subtract 24 from 29 to get 5.

$$10x=5$$

Divide both sides by 10.

$$x=\frac{5}{10}$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{1}{2}$$