Solve 2x-1/3-3=1.5x+15/2

$$\frac{ 2x-1 }{ 3 } -3 = \frac{ 1.5x+15 }{ 2 }$$

Solve for x

$$x=-130$$

Steps for Solving Linear Equation

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

$$2\left(2x-1\right)-18=3\left(1.5x+15\right)$$

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

$$4x-2-18=3\left(1.5x+15\right)$$

Subtract 18 from -2 to get -20.

$$4x-20=3\left(1.5x+15\right)$$

Use the distributive property to multiply 3 by 1.5x+15.

$$4x-20=4.5x+45$$

Subtract 4.5x from both sides.

$$4x-20-4.5x=45$$

Combine 4x and -4.5x to get -0.5x.

$$-0.5x-20=45$$

Add 20 to both sides.

$$-0.5x=45+20$$

Add 45 and 20 to get 65.

$$-0.5x=65$$

Divide both sides by -0.5.

$$x=\frac{65}{-0.5}$$

Expand \frac{65}{-0.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{650}{-5}$$

Divide 650 by -5 to get -130.

$$x=-130$$