If 4x+5=13x+4-x-9 then x= ?

4x + 5 = 12x -5
10 = 8x
10/8 = x
5/4 = x

x = 5/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define Equation

4x + 5 = 13x + 4 - x - 9

Step 2: Solve for x

Combine like terms:                    4x + 5 = 12x - 5Subtract 4x on both sides:          5 = 8x - 5Isolate x term:                              10 = 8xIsolate x:                                       5/4 = xRewrite:                                        x = 5/4

Step 3: Check

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

Substitute in x:                    4(5/4) + 5 = 13(5/4) + 4 - 5/4 - 9Multiply:                               5 + 5 = 65/4 + 4 - 5/4 - 9Add:                                     10 = 81/4 - 5/4 - 9Subtract:                              10 = 19 - 9Subtract:                              10 = 10

Here we see that 10 does indeed equal 10.

∴ x = 5/4 is the solution to the equation.