Question

3(x+4)-3(5-x)-x-3 3(x+2)-4(1-x)-x-4

Answer 1

3(x+4)-3(5-x)-x-3 = 3x+12-15+3x-x-3 = 5x-6

3(x+2)-4(1-x)-x-4 = 3x+6-4+4x-x-4 = 6x-2

Answer 2

3(x+4)-3(5-x)-x-3
Раскроем скобки:
3х+12-15+3х-х-3
5х-6
Переносим значение без икс в правую часть:
5х=6
х= $\frac{5}{6}$

3(x+2)-4(1-x)-x-43х+6-4+4х-х-4
6х-2
6х=2
х= $\frac{6}{2}$
х=3

Answer 3

To simplify the given expressions, follow these steps:

Expression 1: 3(x+4) - 3(5-x) - x - 3

Step 1: Distribute the coefficients to the terms inside the parentheses. = 3x + 3(4) - 3(5) + 3x - x - 3

Step 2: Simplify the terms inside the parentheses. = 3x + 12 - 15 + 3x - x - 3

Step 3: Combine like terms. = 3x + 3x - x + 12 - 15 - 3

Step 4: Simplify further. = 5x - 6

Final Simplified Expression 1: 5x - 6

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Expression 2: 3(x+2) - 4(1-x) - x - 4

Step 1: Distribute the coefficients to the terms inside the parentheses. = 3x + 3(2) - 4(1) + 4x - x - 4

Step 2: Simplify the terms inside the parentheses. = 3x + 6 - 4 + 4x - x - 4

Step 3: Combine like terms. = 3x + 4x - x + 6 - 4 - 4

Step 4: Simplify further. = 6x - 2

Final Simplified Expression 2: 6x - 2

So, the simplified expressions are:

1. 3(x+4) - 3(5-x) - x - 3 simplifies to 5x - 6
2. 3(x+2) - 4(1-x) - x - 4 simplifies to 6x - 2