Solve for X and Equivalent Equations

The process of simplifying an expression involves combining like terms, applying the distributive property, and reducing fractions to their simplest form.

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum or difference.

To simplify, apply the distributive property: 6 + 14x - 6 = 14x.

Two expressions are equivalent if they have the same value for all values of the variables involved.

Use the power of a product rule: (2ab)³ = 2³ * a³ * b³ = 8a³b³.

Distributing gives -12x + 24 + 15x, which simplifies to 3x + 24.

The power of a power rule states that (a^m)^n = a^(m*n).

Using the distributive property, 5(a + 6) = 5a + 30.

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.

The first step is to isolate the variable on one side of the equation, often by using inverse operations.