Question

25 solve for x: 5(x - 2) = 2(10 + x)

Explanation:

Step1: Expand both sides

$5(x - 2)=5x-10$ and $2(10 + x)=20 + 2x$, so the equation becomes $5x-10=20 + 2x$.

Step2: Move x - terms to one side

Subtract $2x$ from both sides: $5x-2x-10=20 + 2x-2x$, which simplifies to $3x-10=20$.

Step3: Move constant to the other side

Add 10 to both sides: $3x-10 + 10=20+10$, getting $3x=30$.

Step4: Solve for x

Divide both sides by 3: $\frac{3x}{3}=\frac{30}{3}$, so $x = 10$.

Answer:

$x = 10$