Questions: Solve: 4 x-10=3(x+10)+6 x=□ σ^6

Solve:
4 x-10=3(x+10)+6
x=□ σ^6
Transcript text: Solve: \[ \begin{array}{l} 4 x-10=3(x+10)+6 \\ x=\square \sigma^{6} \end{array} \]
failed

Solution

failed
failed

Solution Steps

Step 1: Distribute the 3 on the right side

Distribute the 3 to both terms inside the parentheses: \[ 4x - 10 = 3(x + 10) + 6 \] \[ 4x - 10 = 3x + 30 + 6 \]

Step 2: Combine like terms on the right side

Combine the constants on the right side: \[ 4x - 10 = 3x + 36 \]

Step 3: Isolate the variable term

Subtract 3x from both sides to get the variable term on one side: \[ 4x - 3x - 10 = 36 \] \[ x - 10 = 36 \]

Step 4: Solve for x

Add 10 to both sides to solve for x: \[ x - 10 + 10 = 36 + 10 \] \[ x = 46 \]

Final Answer

\[ x = 46 \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful