Solve for x: -2(x + 3) = -2(x + 1) - 4.

Solution:

Given expression is

-2(x + 3) = -2(x + 1) - 4

An equation is a mathematical statement with an 'equal to' symbol between two algebraic expressions that have equal values. An equation is like a weighing balance with equal weights on both sides. If we add or subtract the same number from both sides of an equation, it still holds.

Using the distributive property, we get

-2x - 6 = -2x - 2 - 4-2x - 6 = -2x - 6

RHS = LHS

As the terms on both sides are the same, there are infinitely many solutions for the given equation.

So, the solutions of the equation −2(x + 3) = −2(x + 1) − 4 are all real values of x.

Solve for x: -2(x + 3) = -2(x + 1) - 4.

Summary:

 All real values of x give the solution of the equation −2(x + 3) = −2(x + 1) − 4