Answer:
The value of the equation for x is [tex]x=\frac{1119}{2}[/tex] or 559.5.
Step-by-step explanation:
Consider the provided equation.
[tex]45(15x+20)-7x=56(12x-24)+6[/tex]
We need to solve the equation for x.
Use the distributive property: [tex]a(b+c)=ab+ac[/tex]
[tex]45(15x+20)-7x=56(12x-24)+6[/tex]
[tex]675x+900-7x=672x-1344+6[/tex]
Add the like terms.
[tex]668x+900=672x-1338[/tex]
Isolate the variable as shown:
[tex]672x-668x=900+1338[/tex]
[tex]4x=2238[/tex]
[tex]x=\frac{2238}{4}[/tex]
[tex]x=\frac{1119}{2}[/tex]
Hence, the value of the equation for x is [tex]x=\frac{1119}{2}[/tex] or 559.5.
