Write an expression to represent the sum of three consecutive even numbers.

Even numbers are reppresented as 2n where n is an even number
consecutive even numbers are 2 apart (2,4,6,8...)
so sum of 3 is

the numbers are
2n, 2n+2, 2n+4

so the sum is 2n+2n+2+2n+4=6n+6

x = 1/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

4x + 1 = 3 - 2x

Step 2: Solve for x

Add 2x on both sides:                    6x + 1 = 3Subtract 1 on both sides:                6x = 2Divide 6 on both sides:                   x = 1/3

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                    4(1/3) + 1 = 3 - 2(1/3)Multiply:                        4/3 + 1 = 3 - 2/3Add/Subtract:               7/3 = 7/3

Here we see that 7/3 does indeed equal 7/3.

∴ x = 1/3 is a solution of the equation.