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

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