-[2x-(5x+2)]=2+(2x+7) help me please, i need step by step so that I won't get lost
-[2x-(5x+2)]=2+(2x+7)
3x + 2 = 9 + 2x
3x - 2x = 9 - 2
x = 7
Check:
-14 + 35 + 2 = 9 + 14
23 = 23
work the inner brackets first
-[2x-(5x+2)]=2+(2x+7)
-2[2x - 5x -2] = 2 + 2x + 7
-2[-3x - 2] = 9 + 2x
6x + 4 = 9 + 2x
6x - 2x = 9 - 4
4x = 5
x = 5/4
should have put my glasses on !
Sure! I'll help you solve the equation step by step.
1. Start by simplifying the equation using the distributive property.
*[2x - (5x + 2)] = 2 + (2x + 7)
Remove the parentheses:
2x - 5x - 2 = 2 + 2x + 7
2. Combine like terms on both sides of the equation.
Combine like terms on the left side:
(2x - 5x) - 2 = 2 + 2x + 7
-3x - 2 = 2 + 2x + 7
Combine like terms on the right side:
-3x - 2 = 2x + 9
3. Move all the terms with x to one side of the equation by adding 3x to both sides.
Add 3x to both sides:
-3x + 3x - 2 = 2x + 3x + 9
Simplify:
-2 = 5x + 9
4. Move all the constants to the other side of the equation by subtracting 9 from both sides.
Subtract 9 from both sides:
-2 - 9 = 5x + 9 - 9
Simplify:
-11 = 5x
5. Solve for x by dividing both sides by 5.
Divide both sides by 5:
-11/5 = 5x/5
Simplify:
-11/5 = x
Therefore, the solution to the equation is x = -11/5.