Question

(2x+7)/3+(5+1)/2=6x ответ x=

Answer 1

Ответ:

х = 1

Объяснение:

$\frac{2x + 7}{3} + \frac{5 + 1}{2} = 6x \\ \frac{2x + 7}{3} + 3 = 6x \: \: \: \: \: | \times 3 \\ 2x + 7 + 9 = 18x \\ 18x - 2x = 16 \\ 16x = 16 \: \: \: \: \: | \div 16 \\ x = 1$

Answer 2

Let's solve the given equation step by step to find the value of x:

(2x + 7)/3 + (5 + 1)/2 = 6x

Step 1: Get rid of the fractions by finding a common denominator, which is 6.

(2x + 7) * 2 + (5 + 1) * 3 = 6x * 6

Step 2: Distribute and simplify on both sides of the equation.

4x + 14 + 15 + 3 = 36x

Step 3: Combine like terms.

4x + 32 = 36x

Step 4: Move all the terms containing x to one side of the equation.

4x - 36x + 32 = 0

Step 5: Combine the x terms.

-32x + 32 = 0

Step 6: Move the constant term to the other side of the equation.

-32x = -32

Step 7: Solve for x by dividing both sides by -32.

x = -32 / -32

Step 8: Simplify the right side.

x = 1

So, the solution to the equation is x = 1.