Question

How do you solve this step by step?

Answer 1

Answer:

x = 41

Step-by-step explanation:

To solve this problem, we want to find the value of 'x' by isolating it (separating 'x' from all other numbers).

First, simplify the expression by using the distributive property, where you multiply the number outside the brackets with each term inside the brackets.

Then isolate 'x' by doing reverse operations (on both sides) for every number that is on the same side as 'x'. Reverse operations are opposites (addition and subtraction, multiplication and division) and "cancel out" a number, which "moves" it to the other side.

7(x - 5) = 252        Use the distributive property

7x - 35 = 252        Result of 7 times x and 7 times -5

7x - 35 + 35 = 252 + 35        Add 35 to both sides

7x = 252 + 35        -35+35 on the left side cancelled out. Simplify right side

7x = 287        Continue to isolate 'x'

7x/7 = 287/7        Divide both sides by 7

x = 287/7        Left side cancelled out to be 'x'. Simplify the right side

x = 41        Answer

Check your answer:

Substitute 'x' for 41 in the original equation. Then, make sure that the equation is still balanced. Keep in mind BEDMAS order (brackets, exponents, division, multiplication, addition, subtraction).

7(x - 5) = 252

7(41 - 5) = 252        Simplify inside the brackets first

7(36) = 252        Multiply

252 = 252        Same answer

LS = RS

Since left side (LS) equals (=) right side (RS), the equation is still balanced and we got the correct value for 'x'.