X +5/9x=2{3-x}
How do i solve it

x = 27/16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define equation

x + 5/9x = 2(3 - x)

Step 2: Solve for x

Distribute 2:                              x + 5/9x = 6 - 2xCombine like terms:                 14/9x = 6 - 2xAdd 2x on both sides:              32/9x = 6Divide 32/9 on both sides:      x = 27/16

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    27/16 + 5/9(27/16) = 2(3 - 27/16)Multiply:                               27/16 + 15/16 = 2(3 - 27/16)Subtract:                              27/16 + 15/16 = 2(21/16)Multiply:                               27/16 + 15/16 = 21/8Add:                                     21/8 = 21/8

Here we see that 21/8 does indeed equal 21/8.

∴ x = 27/16 is a solution to the equation.