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Sunny_sXe [5.5K]
3 years ago
10

If a(2x-3) = bx+5 then the solution for x in terms of a and b is

Mathematics
2 answers:
Lina20 [59]3 years ago
8 0

Answer:

x = (5 + 3a)/(2a - b)

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

a(2x - 3) = bx + 5

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute <em>a</em>:                              2xa - 3a = bx + 5
  2. Add 3a on both sides:             2xa = bx + 5 + 3a
  3. Subtract bx on both sides:      2xa - bx = 5 + 3a
  4. Factor out <em>x</em>:                             x(2a - b) = 5 + 3a
  5. Isolate <em>x</em>:                                   x = (5 + 3a)/(2a - b)
Allisa [31]3 years ago
6 0

Answer:

x=(3a+5)/(2a-b)

Step-by-step explanation:

We spread the a to the 2x and -3 first,

2ax -3a= bx+5 5ax

By adding 3a, we pass the -3a over

2ax=bx+5+3aa bx+5+3aa

We'll pass the bx over the bx, then

2ax-bx=5+3aa-bx=5

Now we will party like this on the left side,

5+3a) x(2a-b)=5+3a)

Everything we have to do to find x is to separate both sides by (2a-b)

x=(3a+5)/=(3a+5)/ (2a-b)

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