Question

1 3/4 (х+2)=0.5х- 1/2​

Answer 1

Ответ:

1 3/4 (х+2)=0.5х- 1/2​

1 3/4 х+ 7/2=0.5х- 1/2​

1 3/4 х- 1/2 х=-7/2- 1/2​

1 1/4 х=-4÷1 1/4=-4×4/5=-16/5

х=-3,2

Пошаговое объяснение:

Answer 2

To solve the equation $1\frac{3}{4}(x+2) = 0.5x - \frac{1}{2}$, follow these steps:

Step 1: Distribute the $\frac{3}{4}$ on the left side of the equation to both terms inside the parentheses:

$\frac{3}{4}(x+2) = 0.5x - \frac{1}{2}.$

Step 2: Multiply both sides of the equation by 4 to get rid of the fraction on the left side:

$4 \cdot \frac{3}{4}(x+2) = 4 \cdot (0.5x - \frac{1}{2}).$

This simplifies to:

$3(x+2) = 2x - 2.$

Step 3: Distribute the 3 on the left side:

$3x + 6 = 2x - 2.$

Step 4: Move the 2x term to the left side by subtracting 2x from both sides of the equation:

$3x - 2x + 6 = -2.$

This simplifies to:

$x + 6 = -2.$

Step 5: Move the 6 to the right side by subtracting 6 from both sides of the equation:

$x + 6 - 6 = -2 - 6.$

Simplifying further:

$x = -8.$

So, the solution to the equation $1\frac{3}{4}(x+2) = 0.5x - \frac{1}{2}$ is $x = -8$.