How many solutions exist for the given equation? 1/2 x+12=4x-1 zero one two infinitely many
Accepted Solution
A:
Answer:There's 1 solution.Solve for Β x by simplifying both sides of the equation, then isolating the variable.x=2Step-by-step explanation:1/2(x+12)=4xβ1 Step 1: Simplify both sides of the equation. 1/2(x+12)=4xβ1 (1/2)(x)+(1/2)(12)=4x+β1(Distribute) 1/2x+6=4x+β1 1/2x+6=4xβ1 Step 2: Subtract 4x from both sides. 1/2x+6β4x=4xβ1β4x β7/2x+6=β1 Step 3: Subtract 6 from both sides. β7/2x+6β6=β1β6 β7/2x=β7 Step 4: Multiply both sides by 2/(-7). (2/β7)*(β7/2x)=(2/β7)*(β7) x=2