Solve 2009:(-3+2*x)=287

$$2009 : ( - 3 + 2 \cdot x ) = 287$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Variable x cannot be equal to \frac{3}{2} since division by zero is not defined. Multiply both sides of the equation by 2x-3.

$$2009=287\left(2x-3\right)$$

Use the distributive property to multiply 287 by 2x-3.

$$2009=574x-861$$

Swap sides so that all variable terms are on the left hand side.

$$574x-861=2009$$

Add 861 to both sides.

$$574x=2009+861$$

Add 2009 and 861 to get 2870.

$$574x=2870$$

Divide both sides by 574.

$$x=\frac{2870}{574}$$

Divide 2870 by 574 to get 5.

$$x=5$$