Answer:
x = 1.2
Step-by-step explanation:
[tex]\frac{10x-3}{3}[/tex] + [tex]\frac{5x+2}{4}[/tex] = 5
You would want to make the denominators of both fractions the same first. Their lowest common multiple is 12, so we shall make the denominators 12 by multiplying the first fraction by 4 and the second fraction by 3.
[tex]\frac{4(10x-3)}{12}[/tex] + [tex]\frac{3(5x+2)}{12}[/tex] = 5
Simplify.
[tex]\frac{40x-12}{12}[/tex] + [tex]\frac{15x+6}{12}[/tex] = 5
Now we can combine both fractions together since their denominator is the same.
[tex]\frac{40x-12+15x+6}{12}[/tex] = 5
Simplify.
[tex]\frac{55x-6}{12}[/tex] = 5
Isolate 55x-6.
55x-6 = 5 × 12
Simplify.
55x-6 = 60
Isolate the 55x.
55x = 60+6
Simplify.
55x = 66
Find x.
x = [tex]\frac{66}{55}[/tex]
Simplify.
x = 1.2
