The equation 3x+4=5x-4 has the solution set {4}. explain why the equation (3x+4) + 4=5x-4) + 4 also has the solution set {4}

Notice that the terms in parentheses on both sides of the equation are added to 4.

(3x + 4) + 4 = (5x - 4) + 4

So we can set the equation as.

3x + 4 = 5x - 4

Subtract 3x on both sides of equation.

4 = 2x - 4

Add 4 on both sides of equation.

8 = 2x

Divide both sides of equation by 2.

4 = x

4 is the only value that satisfies the statement.