Question

Solve the equation $3(x-2)=4(x+5)$

Short answer

$x=-26$is the value of x.

Step-by-step solution

Step 1. Given Information:

Given equation: $3(x-2)=4(x+5)$

We want to solve the given equation for value of x.

Step 2. Solution:

We'll first get rid of the parenthesis:

$$\begin{gathered} 3(x-2)=4(x+5) \\ 3x-6=4x+20 \end{gathered}$$

We will then switch the unknowns to left and knowns to the right:

$$\begin{gathered} 3x-6=4x+20 \\ 3x-4x=20+26 \\ -x=26 \end{gathered}$$

Divide the whole equation by - 1 w get the value of the unknown x:

$$\begin{gathered} -x=26 \\ x=-26 \end{gathered}$$