#### Answer

The solution is -12

#### Work Step by Step

3x-7 =4x+5 Add 7 to both sides of the equation
3x-7 + 7=7=4x+5 +7 Simplify
3x =4x + 12 Subtract 4x from both sides
3x -4x =4x + 12 -4x Simplify
-x = 12 Divide both sides by -1
$\frac{-x}{-1}$ = $\frac{12}{-1}$
x = -12
The solution is -12
Check
3x-7 =4x+5
3(-12) -7 =4(-12)+5 Multiply
-36-7= -48 +5
-43=-43