7x+0.1+10x-0.2=5 solve for x

x = 0.3

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

7x + 0.1 + 10x - 0.2 = 5

Step 2: Solve for x

Combine like terms:                     17x - 0.1 = 5Isolate x term:                               17x = 5.1Isolate x:                                        x = 0.3

Step 3: Check

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

Substitute in x:                    7(0.3) + 0.1 + 10(0.3) - 0.2 = 5Multiply:                               2.1 + 0.1 + 3 - 0.2 = 5Add:                                     2.2 + 3 - 0.2 = 5Add:                                     5.5 - 0.2 = 5Subtract:                              5 = 5

Here we see that 5 does indeed equal 5.

∴ x = 0.3 is the solution to the equation.