Question

Solve equation for 5x-14=8x+4

Answer 1

My answer-

Simplifying 5x + -14 = 8x + 4
 
Reorder the terms: -14 + 5x = 8x + 4 Reorder the terms: -14 + 5x = 4 + 8x
 
Solving -14 + 5x = 4 + 8x Solving for variable 'x'.


Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -14 + 5x + -8x = 4 + 8x + -8x

Combine like terms: 5x + -8x = -3x -14 + -3x = 4 + 8x + -8x

Combine like terms: 8x + -8x = 0 -14 + -3x = 4 + 0 -14 + -3x = 4 Add '14' to

 each side of the equation. -14 + 14 + -3x = 4 + 14

Combine like terms: -14 + 14 = 0 0 + -3x = 4 + 14 -3x = 4 + 14

 Combine like terms: 4 + 14 = 18 -3x = 18

Divide each side by '-3'. x = -6

Simplifying x = -6


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Answer 2

Remember, you can do anything to an equation as long as you do it to both sides


get 1 of the x on one side

5x-14=8x+4
minus 5x both sides (we want on left side because 8>5 and I like positive stuff)

5x-5x-14=8x-5x+4
0-14=3x+4
-14=3x+4
minus 4 both sides
-14-4=3x+4-4
-18=3x+0
-18=3x
divide both sides by 3
remember, negative/positive=negative
-18/3=(3x)/3
-6=x(3/3)
-6=x(1)
-6=x
x=-6