Question

3(4x-8)=3x-63(5-x)+13=4(3x-8)​

Answer 1

1) 3(4x-8)=3x-6;

12х-24=3х-6;

12х-3х= 24-6;

9х= 18;

х= 18÷9;

х=2.

ОТВЕТ: 2.

2) 3(5-x)+13=4(3x-8)​;

15-3x+13= 12x-32;

15+13+32= 3x+12x;

60= 15x;

x= 60÷15;

x= 4.

ОТВЕТ: 4.

Answer 2

To solve the equations, let's simplify and solve them one by one:

Equation 1: 3(4x-8) = 3x - 63(5 - x) + 13

Let's simplify the equation step by step:

3(4x-8) = 3x - 63(5 - x) + 13 12x - 24 = 3x - 63(5 - x) + 13 (Distribute 3 to (4x-8)) 12x - 24 = 3x - 63(5) + 63x + 13 (Distribute -63 to (5 - x)) 12x - 24 = 3x - 315 + 63x + 13 12x - 24 = 66x - 302 (Combine like terms)

Now, let's isolate the x term on one side:

12x - 24 - 66x = -302 (Subtract 66x from both sides) -54x - 24 = -302 (Combine like terms) -54x = -302 + 24 (Add 24 to both sides) -54x = -278

Finally, solve for x by dividing both sides by -54:

x = (-278) / (-54) x = 5.148

So, the solution to the first equation is x ≈ 5.148.

Now, let's move on to the second equation:

Equation 2: 3x - 63(5 - x) + 13 = 4(3x - 8)

Let's simplify this equation step by step as well:

3x - 63(5 - x) + 13 = 4(3x - 8) 3x - 63(5) + 63x + 13 = 12x - 32 (Distribute -63 to (5 - x)) 3x - 315 + 63x + 13 = 12x - 32 66x - 302 = 12x - 32 (Combine like terms)

Now, let's isolate the x term on one side:

66x - 302 - 12x = -32 (Subtract 12x from both sides) 54x - 302 = -32 (Combine like terms) 54x = -32 + 302 (Add 302 to both sides) 54x = 270

Finally, solve for x by dividing both sides by 54:

x = 270 / 54 x = 5

So, the solution to the second equation is x = 5.

To recap, the solutions to the given equations are:

• First equation: x ≈ 5.148
• Second equation: x = 5