Find the value of x when 6 - 4x = 7x-9x - 6 The value of x is

x = 6

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

6 - 4x = 7x - 9x - 6

Step 2: Solve for x

Combine like terms:                    6 - 4x = -2x - 6Add 4x on both sides:                 6 = 2x - 6Add 6 on both sides:                   12 = 2xDivide 2 on both sides:               6 = xRewrite:                                        x = 6

Step 3: Check

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

Substitute in x:                    6 - 4(6) = 7(6) - 9(6) - 6Multiply:                               6 - 24 = 42 - 54 - 6Subtract:                              -18 = -12 - 6Subtract:                              -18 = -18

Here we see that -18 does indeed equal -18.

∴ x = 6 is the solution to the equation.