Question

(26 points)

Solve the equation. SHOW your work. SHOW which properties of equality you used to solve each equation.

4 x + 7 = 6 x – 5

Answer 1

x = 6

Explanation:

4x + 7 = 6x - 5

subtract 7 from both sides (Subtraction Property)

4x = 6x -12

subtract 6x from both sides (Subtraction Property)

-2x = -12

divide by -2 (Division Property)

x = 6

Answer 2

Given 4x+7=6x-5

addition property so 4x+12=6x

then subtraction property so 2x=12

divison property x=6

All are equality