Questions: 2(1-x)+3=8

Transcript text: $2(1-x)+3=8$

Solution

Solution Steps

To solve the equation $2(1-x) + 3 = 8$, we need to isolate the variable $x$. Here are the high-level steps:

Distribute the 2 inside the parentheses.
Combine like terms.
Isolate $x$ by performing basic arithmetic operations.

Step 1: Distribute and Rearrange

Starting with the equation: \[ 2(1 - x) + 3 = 8 \] we distribute the $2$: \[ 2 - 2x + 3 = 8 \]

Step 2: Combine Like Terms

Next, we combine the constant terms: \[ 5 - 2x = 8 \]

Step 3: Isolate the Variable

To isolate $x$, we subtract $5$ from both sides: \[ -2x = 8 - 5 \] which simplifies to: \[ -2x = 3 \] Now, divide both sides by $-2$: \[ x = -\frac{3}{2} \]

Final Answer

\[ \boxed{x = -\frac{3}{2}} \]

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