ValkyrieR
Answered

Solve the equation and simplify your answer.

[tex]\[
\begin{array}{c}
10x - 2(x + 5) = 4x - 2 \\
x = \,?
\end{array}
\][/tex]



Answer :

GinnyAnswer
Certainly! Let's solve the equation step-by-step:

[tex]$10x - 2(x + 5) = 4x - 2$[/tex]

1. Distribute the [tex]\(-2\)[/tex] on the left-hand side of the equation:

[tex]$10x - 2x - 10 = 4x - 2$[/tex]

2. Combine like terms on the left-hand side:

[tex]$8x - 10 = 4x - 2$[/tex]

3. Subtract [tex]\(4x\)[/tex] from both sides to begin isolating [tex]\(x\)[/tex]:

[tex]$8x - 4x - 10 = -2$[/tex]

This simplifies to:

[tex]$4x - 10 = -2$[/tex]

4. Add 10 to both sides to further isolate [tex]\(x\)[/tex]:

[tex]$4x - 10 + 10 = -2 + 10$[/tex]

This simplifies to:

[tex]$4x = 8$[/tex]

5. Divide both sides by 4 to solve for [tex]\(x\)[/tex]:

[tex]$x = \frac{8}{4}$[/tex]

Therefore:

[tex]$x = 2$[/tex]

So the solution to the equation [tex]\(10x - 2(x + 5) = 4x - 2\)[/tex] is:

[tex]$x = 2$[/tex]

Other Questions