Solve 2x-5/3-1=2*(x-3)

$$\frac { 2 x - 5 } { 3 } - 1 = 2 \cdot ( x - 3 )$$

Solve for x

$$x = \frac{5}{2} = 2\frac{1}{2} = 2.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$2x-5-3=6\left(x-3\right)$$

Subtract 3 from -5 to get -8.

$$2x-8=6\left(x-3\right)$$

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

$$2x-8=6x-18$$

Subtract 6x from both sides.

$$2x-8-6x=-18$$

Combine 2x and -6x to get -4x.

$$-4x-8=-18$$

Add 8 to both sides.

$$-4x=-18+8$$

Add -18 and 8 to get -10.

$$-4x=-10$$

Divide both sides by -4.

$$x=\frac{-10}{-4}$$

Reduce the fraction \frac{-10}{-4} to lowest terms by extracting and canceling out -2.

$$x=\frac{5}{2}$$