SOLUTION
Given the equation in the image, the following are the solution steps to solve for x
STEP 1: Write the given equation
[tex]8(6x-2)=10x+3[/tex]
STEP 2: Solve for x
[tex]\begin{gathered} 8(6x-2)=10x+3 \\ \text{Step 1: Open the bracket by multiplying 8 through the terms in the bracket} \\ (8\times6x)-(8\times2)=10x+3\Rightarrow48x-16=10x+3 \\ \text{Step 2: Subtract 10x from both sides} \\ 48x-16-10x=10x+3-10x\Rightarrow38x-16=3 \\ \text{Step 3: Add 16 to both sides} \\ 38x-16+16=3+16 \\ 38x=19 \\ \text{Step 4: divide both sides by 38} \\ \frac{38x}{38}=\frac{19}{38} \\ x=\frac{1}{2}\text{ or 0.5} \end{gathered}[/tex]
Hence, the value of x is 1/2 or 0.5 and the steps are shown above.
