Question

What are the solutions of the equation 4x3-7x=3x+24

Answer 1

Simplifying 4(x + -3) = 7x + 24
 
Reorder the terms: 4(-3 + x) = 7x + 24 (-3 * 4 + x * 4) = 7x + 24 (-12 + 4x) = 7x + 24
 
Reorder the terms: -12 + 4x = 24 + 7x
 
Solving -12 + 4x = 24 + 7x
 
Solving for variable 'x'.
 
Move all terms containing x to the left, all other terms to the right.
 
Add '-7x' to each side of the equation.
-12 + 4x + -7x = 24 + 7x + -7x
 
Combine like terms: 4x + -7x = -3x -12 + -3x = 24 + 7x + -7x
 
Combine like terms: 7x + -7x = 0 -12 + -3x = 24 + 0 -12 + -3x = 24
 Add '12' to each side of the equation.
-12 + 12 + -3x = 24 + 12
 
Combine like terms:
 -12 + 12 = 0 0 + -3x = 24 + 12 -3x = 24 + 12
 
Combine like terms: 24 + 12 = 36 -3x = 36
 
Divide each side by '-3'.

x = -12 Simplifying x = -12