Sove for x: -5(2x-6)=-x+4+4x

-10x+30=4+3x
30-4=3x+10x
26=13x
x=2

Find x , give that x-3+4(2+x)=7x -9

x-3+8+4x=7x -9
5x+5=7x-9
5x-5x+5+9=7x-5x-9+9
14=2x
x=14/2
x=7

How do I know that my solution to the equation makes sense? Equation: (3I-20)+I=500? Solution: I=130

We can check the correctness of a solution by testing it in the original equation. If the resulting calculation proves to be true, then our solution is correct. 

 
 
 
 
which is true, so our solution is correct 

:)

Solve: 10y=9(y+11)

We simplify both sides, move all variable terms to the same side, then divide if needed. 

10y=9(y+11) 

10y=9y+9(11) 

10y-9y=9y-9y+99 

y=99 




:)

Solve the equation: 5(-3x - 2) - (x - 3) = -4(4x + 5) + 13

 solution:

 

 we distribute through first:


 

 then we simplify both sides

 

Since both sides of the equation are identical, we know that this equation is an identity. Therefore the solution is all real numbers.

Solving Linear Equations

Solve the equation
3x + 3 = 2x + 4

Solution: