Question

Fill in the missing work and justification for step 3 when solving 2(x 1) = 10. step work justification 1 2(x 1) = 10 given 2 2x 2 = 10 distributive property 3 4 2x = 8 simplify 5 two times x over two equals eight over two division property of equality 6 x = 4 simplify group of answer choices 2x 2 2 = 10 2; addition property of equality 2x 2 − 2 = 10 − 2; subtraction property of equality (2x 2)(2) = 10(2); multiplication property of equality the quantity two times x plus two all over two equals ten over two

Answer 1

2(x + 1) = 10

2x + 2 = 10

2x +2 -2 = 10 - 2

2x = 10 (step 3)

2x/2 = 8/2

x = 4

Formula Given:

2(x + 1) = 10

2 Multiply by (x + 1) - Distribution Characteristic

2x + 2 = 10 to open the brackets.

Subtract 2 from both sides.

2x + 2 - 2 = 10 - 2 (equals subtraction property)

2x = 8 (justified in step 3).

Divide both sides by 2

2x/2 = 8/2 - property of equal division.

therefore

x = 4. (solved)

The division is one of the four basic operations in arithmetic, a way of combining numbers to form a new number. Other operations are addition, subtraction, and multiplication.

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