1. Solve forx:
5(x - 8) + 7 = 2

x = 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

5(x - 8) + 7 = 2

Step 2: Solve for x

Subtract 7 on both sides:                    5(x - 8) = -5Divide 5 on both sides:                       x - 8 = -1Add 8 on both sides:                           x = 7

Step 3: Check

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

Substitute in x:                     5(7 - 8) + 7 = 2(Parenthesis) Subtract:        5(-1) + 7 = 2Multiply:                                -5 + 7 = 2Add:                                      2 = 2

Here we see that 2 does indeed equal 2.

∴ x = 7 is the solution to the equation.

It's like discovering the answer to a puzzle. the purpose in solving an equation is to find the value or values of the variable that makes it a true statement. any value of the variable that makes the equation true is called a solution to the equation.