Question

svlc algebra 1a - standard (15260)
solving linear equations: variable on one side
solve the equation.
-10x + 1 + 7x = 37
options:
x = -15
x = 12
x = -12
x = 15

Explanation:

Step1: Combine like terms

Combine the \(x\)-terms: \(-10x + 7x=-3x\), so the equation becomes \(-3x + 1 = 37\).

Step2: Subtract 1 from both sides

Subtract 1 from each side: \(-3x+1 - 1=37 - 1\), which simplifies to \(-3x = 36\).

Step3: Divide by -3

Divide both sides by \(-3\): \(\frac{-3x}{-3}=\frac{36}{-3}\), giving \(x=-12\).

Answer:

\(x = -12\)