Given: 2x-3=5(x+6)
Distribute the 5 into the parenthesis:
2x-3=5x+30
Add 3 to both sides:
2x=5x+30+3
2x=5x+33
Subtract 5x from both sides:
2x-5x=33
-3x=33
Divide both sides by -3:
-3x/-3=33/-3
x=-11
Check the answer by plugging in x=-11 into the equation to see if it is a true statement:
2(-11)-3=5(-11+6)
-22-3=5(-5)
-25=-25
Thus, x=-11 is correct