(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

Given 4x+7=6x-5

addition property so 4x+12=6x

then subtraction property so 2x=12

divison property x=6

All are equality

x = 6

Step-by-step 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

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1