solve the equation. -3x + 1 + 10x = x + 4 x = \\frac{1}{2} x = \\frac{5}{6} x = 12 x = 18

Explanation:

Step1: Combine like terms

Combine the (x) terms on the left - hand side of the equation (-3x + 1+10x=x + 4). ((-3x+10x)+1=x + 4), which simplifies to (7x+1=x + 4).

Step2: Move (x) terms to one side

Subtract (x) from both sides of the equation (7x+1=x + 4). (7x - x+1=x - x+4), so (6x+1 = 4).

Step3: Isolate the (x) term

Subtract (1) from both sides of the equation (6x+1 = 4). (6x+1-1=4 - 1), which gives (6x=3).

Step4: Solve for (x)

Divide both sides of the equation (6x = 3) by (6). (x=\frac{3}{6}=\frac{1}{2}).

Answer:

(x=\frac{1}{2}) (the first option)