Answer:
[tex]x=2[/tex]
Step-by-step explanation:
[tex]2.5(6x-4)=10+4(1.5+0.5x)[/tex]
Rewrite the equation using fractions:
[tex]\frac{5}{2} (6x-4)=10+4(\frac{3}{2} +\frac{1}{2} x)[/tex]
Expand out terms of the left hand side and right hand side using distributive propierty:
[tex]\frac{30}{2} x-\frac{20}{2} =10+\frac{12}{2} +\frac{4}{2}x \\15x-10=10+6+2x[/tex]
Grouping like terms subtracting 2x from both sides and adding 10 to both sides:
[tex]15x-2x-10+10=6+10+10+2x-2x\\15x-2x=6+10+10\\13x=26[/tex]
Finally, divide both sides by 13
[tex]\frac{13}{13} x=\frac{26}{13} \\x=2[/tex]
