Fill in the spaces to solve each step of the problem 14(x+3)=5.
Step 1: __ 1/4(x+3)=5__.
Step 2: x+3= __
Step 3: Subtract __ from both sides.
Step 4: x= __
Step 1: Multiply both sides by 1/4 to get the coefficient of (x+3) to be 1.
Step 1: (1/4)(14(x+3))=(1/4)(5)
Step 1: 14/4(x+3)=5/4
Step 1: 7/2(x+3)=5/4
Step 2: Distribute 7/2 to (x+3)
Step 2: (7/2)x+(7/2)(3)=5/4
Step 2: (7/2)x+21/2=5/4
Step 3: Subtract 21/2 from both sides
Step 3: (7/2)x+(21/2)-(21/2)=(5/4)-(21/2)
Step 3: (7/2)x=(5/4)-(21/2)
Step 4: Simplify the right side of the equation
Step 4: (7/2)x=(5/4)-(21/2)
Step 4: (7/2)x=(-11/4)
Step 4: Multiply both sides by the reciprocal of (7/2) which is 2/7
Step 4: (2/7)(7/2)x=(-11/4)(2/7)
Step 4: x= -22/28
Step 4: Simplify the fraction:
Step 4: x= -11/14
Final Solution: x= -11/14