Problem

Solve the equation.
\[
-3 x+1+10 x=x+4
\]

Answer

Expert–verified
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Answer

\( \boxed{x = \frac{1}{2}} \)

Steps

Step 1 :Combine like terms: \( -3x + 1 + 10x = x + 4 \) becomes \( 7x + 1 = x + 4 \)

Step 2 :Isolate x: \( 7x - x = 4 - 1 \) becomes \( 6x = 3 \)

Step 3 :Solve for x: \( x = \frac{3}{6} \) simplifies to \( x = \frac{1}{2} \)

Step 4 :\( \boxed{x = \frac{1}{2}} \)

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