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

Asked 11 months ago
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If 4x+5=13x+4-x-9 then x= ?

2
4x + 5 = 12x -5
10 = 8x
10/8 = x
5/4 = x ##### Susie Crona
15.5k 3 10 26
answered 11 months ago
2

x = 5/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
7. 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

1. Combine like terms:                    4x + 5 = 12x - 5
2. Subtract 4x on both sides:          5 = 8x - 5
3. Isolate x term:                              10 = 8x
4. Isolate x:                                       5/4 = x
5. Rewrite:                                        x = 5/4

Step 3: Check

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

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

Here we see that 10 does indeed equal 10.

∴ x = 5/4 is the solution to the equation. ##### Rudolph Ledner
15.5k 3 10 26
answered 11 months ago