Solve 4x-x-1/2=5-2x-1/3

$$4 x - \frac { x - 1 } { 2 } = 5 - \frac { 2 x - 1 } { 3 }$$

Solve for x

$$x = \frac{29}{25} = 1\frac{4}{25} = 1.16$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

$$24x-3\left(x-1\right)=30-2\left(2x-1\right)$$

Use the distributive property to multiply -3 by x-1.

$$24x-3x+3=30-2\left(2x-1\right)$$

Combine 24x and -3x to get 21x.

$$21x+3=30-2\left(2x-1\right)$$

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

$$21x+3=30-4x+2$$

Add 30 and 2 to get 32.

$$21x+3=32-4x$$

Add 4x to both sides.

$$21x+3+4x=32$$

Combine 21x and 4x to get 25x.

$$25x+3=32$$

Subtract 3 from both sides.

$$25x=32-3$$

Subtract 3 from 32 to get 29.

$$25x=29$$

Divide both sides by 25.

$$x=\frac{29}{25}$$