3x+6+x<1+2x-5
Lynn/Paul -- I'll be glad to check your answer.
x=1
This is an inequality. Where did you get the equal sign?
3x+6+x<1+2x-5
4x + 6 < 2x - 4
2x < -10
To solve the inequality 3x + 6 + x < 1 + 2x - 5, follow these steps:
Step 1: Simplify both sides of the inequality:
Combine like terms:
4x + 6 < 2x - 4
Step 2: Move all x terms to one side of the inequality and the constant terms to the other side:
Subtract 2x from both sides:
4x - 2x + 6 < -4
Simplify:
2x + 6 < -4
Step 3: Move the constant term to the other side:
Subtract 6 from both sides:
2x + 6 - 6 < -4 - 6
Simplify:
2x < -10
Step 4: Divide both sides of the inequality by the coefficient of x:
Divide by 2:
(2x)/2 < (-10)/2
Simplify:
x < -5
So, the solution to the inequality 3x + 6 + x < 1 + 2x - 5 is x < -5.