Leystu jöfnuna

4x - (x - 42) = 5x + 3(x - 49)

We will begin by simplifying and solving the equation step by step:

### Given equation:
\[ 4x - (x - 42) = 5x + 3(x - 49) \]

### Step 1: Expand both sides.
Distribute the negative sign on the left side and the 3 on the right side.

\[ 4x - x + 42 = 5x + 3x - 147 \]

Simplify both sides:

\[ (4x - x) + 42 = (5x + 3x) - 147 \]

This gives:

\[ 3x + 42 = 8x - 147 \]

### Step 2: Rearrange the equation.
Move all terms involving \( x \) to one side and the constants to the other side.

\[ 42 + 147 = 8x - 3x \]

Simplify:

\[ 189 = 5x \]

### Step 3: Solve for \( x \).
Divide both sides by 5:

\[ x = \frac{189}{5} \]

Thus, the solution is:

\[ x = 37.8 \]

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Would you like more details on any step or have further questions?

### Related Questions:
1. How can I solve equations with fractions or decimals?
2. What happens if I have more variables in the equation?
3. How do you solve quadratic equations?
4. How can I check if my solution to an equation is correct?
5. Can you explain how to solve systems of equations?

**Tip:** Always simplify both sides of an equation before moving terms around—it helps avoid mistakes.

Leystu jöfnuna 4x - (x - 42) = 5x + 3(x - 49)

Step-by-step solution to solving the linear equation 4x - (x - 42) = 5x + 3(x - 49). Learn how to expand, simplify, and solve for x using key algebraic concepts like the distributive property. Suitable for students in Grades 8-10.

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