Solve (2x-1)-5(x+3)/6=x+5/2-4

$$( 2 x - 1 ) - \frac { 5 ( x + 3 ) } { 6 } = \frac { x + 5 } { 2 } - 4$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 6,2.

$$12x-6-5\left(x+3\right)=3\left(x+5\right)-24$$

Use the distributive property to multiply -5 by x+3.

$$12x-6-5x-15=3\left(x+5\right)-24$$

Combine 12x and -5x to get 7x.

$$7x-6-15=3\left(x+5\right)-24$$

Subtract 15 from -6 to get -21.

$$7x-21=3\left(x+5\right)-24$$

Use the distributive property to multiply 3 by x+5.

$$7x-21=3x+15-24$$

Subtract 24 from 15 to get -9.

$$7x-21=3x-9$$

Subtract 3x from both sides.

$$7x-21-3x=-9$$

Combine 7x and -3x to get 4x.

$$4x-21=-9$$

Add 21 to both sides.

$$4x=-9+21$$

Add -9 and 21 to get 12.

$$4x=12$$

Divide both sides by 4.

$$x=\frac{12}{4}$$

Divide 12 by 4 to get 3.

$$x=3$$