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#
Question:

Solve for x:

5(4x + 3) – 4(2x + 1) = 47

A
x = 3

Explaination

Step 1: Apply the distributive law

The first step is to expand the terms 5(4x + 3) and 4(2x + 1) by distribution so 5(4x + 3) – 4(2x + 1) = 47 becomes

20x + 15 – 8x – 4 = 47.

Step 2: Combine like terms

We can then collect like terms in 20x + 15 – 8x – 4 = 47.

12x + 11 = 47

Step 3: Subtract 11 on both sides

We then have to subtract 11 on both sides to isolate the term with x.

12x + 11 – 11 = 47 – 11

12x = 36

Step 4: Divide by 12 on both sides

We then divide both sides of the equation by 12 to isolate x.

(12x)/12 = 36/12

1x = 3

We can drop the 1 on the left-hand side to x = 3.

x = 3 is the solution of the equation.

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