Question

3(x+5)+4x 8(7+x)-3x 9(x-7)+6x

Answer 1

3( х + 5 ) + 4х = 7х + 15;
3х + 15 + 4х = 3х + 4х + 15 = 7х + 15;

8( 7 + х ) - 3х = 56 + 5х;
56 + 8х - 3х = 56 + 5х;

9( х - 7 ) + 6х = 15х - 63.
9х - 63 + 6х = 9х + 6х - 63 = 15х - 63.

Answer 2

To simplify the given expressions, follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition, and Subtraction).

1. Simplify 3(x + 5) + 4x: Apply the distributive property by multiplying 3 to both terms inside the parentheses: 3(x + 5) + 4x = 3x + 15 + 4x

Now, combine like terms (the terms with 'x'): 3x + 15 + 4x = 7x + 15

So, the simplified expression is: 7x + 15

2. Simplify 8(7 + x) - 3x: Apply the distributive property by multiplying 8 to both terms inside the parentheses: 8(7 + x) - 3x = 56 + 8x - 3x

Now, combine like terms (the terms with 'x'): 56 + 8x - 3x = 5x + 56

So, the simplified expression is: 5x + 56

3. Simplify 9(x - 7) + 6x: Apply the distributive property by multiplying 9 to both terms inside the parentheses: 9(x - 7) + 6x = 9x - 63 + 6x

Now, combine like terms (the terms with 'x'): 9x - 63 + 6x = 15x - 63

So, the simplified expression is: 15x - 63