Question

5x +9–3(x-1)=(3x –13)+(4x -30)
Help please

Answer 1

Answer:

x = 11

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Step-by-step explanation:

Step 1: Define equation

5x + 9 - 3(x - 1) = (3x - 13) + (4x - 30)

Step 2: Solve for x

1. Distribute 3:                              5x + 9 - 3x + 3 = 3x - 13 + 4x - 30
2. Combine like terms:                 2x + 12 = 7x - 43
3. Subtract 2x on both sides:      12 = 5x - 43
4. Add 43 on both sides:             55 = 5x
5. Divide 5 on both sides:            11 = x
6. Rewrite:                                     x = 11

Step 3: Check

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

1. Substitute in x:                    5(11) + 9 - 3(11 - 1) = (3(11) - 13) + (4(11) - 30)
2. Multiply:                               55 + 9 - 3(11 - 1) = (33 - 13) + (44 - 30)
3. Subtract:                              55 + 9 - 3(10) = 20 + 14
4. Multiply:                               55 + 9 - 30 = 20 + 14
5. Add:                                     64 - 30 = 34
6. Subtract:                              34 = 34

Here we see that 34 does indeed equal 34.

∴ x = 11 is a solution of the equation.

Answer 2

Answer:

x=11

Step-by-step explanation:

[remember: (-)(-) is (+) , (-)(+) is (-) , (+)(+) is (+)]

5x + 9 – 3(x-1) = (3x –13) + (4x -30)

5x + 9 -3x + 3 = 3x -13 + 4x -30

5x -3x + 9 + 3 = 3x + 4x -13 -30

2x + 12 = 7x - 43

2x - 7x = -43 - 12

-5x = -55

x = -55/-5

x = 11

hope you understood!!