Answer:
[tex]x=-155/6[/tex]
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write equation
[tex]\frac{x}{5} -7=\frac{2x+3}{4}[/tex]
Step 2: Solve for x
- Convert 7 to fraction: [tex]\frac{x}{5} -\frac{35}{5} =\frac{2x+3}{4}[/tex]
- Combine fractions: [tex]\frac{x-35}{5}=\frac{2x+3}{4}[/tex]
- Cross multiply: [tex]4(x-35)=5(2x+3)[/tex]
- Distribute: [tex]4x-140=10x+15[/tex]
- Subtract 4x on both sides: [tex]-140=6x+15[/tex]
- Subtract 15 on both sides: [tex]-155=6x[/tex]
- Divide both sides by 6: [tex]-155/6 = x[/tex]
- Rewrite: [tex]x=-155/6[/tex]
