Answer:
[tex]x = 1/2y + 3/4x - m[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]4(x + m) = 2y + 3x[/tex]
[tex]4x + 4m = 2y + 3x[/tex]
Step 2: Subtract 4m from both sides
[tex]4x + 4m - 4m = 2y + 3x - 4m[/tex]
[tex]4x = 2y + 3x - 4m[/tex]
Step 3: Divide both sides by 4
[tex]4x / 4 = (2y + 3x - 4m) / 4[/tex]
[tex]x = 1/2y + 3/4x - m[/tex]
Answer: [tex]x = 1/2y + 3/4x - m[/tex]