Answer:
Part 1) [tex]4-7x=15[/tex]
The value of x is [tex]-\frac{11}{7}[/tex]
Part 2) [tex]x=27[/tex]
Step-by-step explanation:
Part 1) Simplify the given equation
we have
[tex]6 - (3x + 10)+4(2 - x)=15[/tex]
In the left side, remove the parenthesis and apply the distributive property
Remember that
[tex](-1)(+1)=-1\\(-1)(-1)=+1[/tex]
so
[tex]6 -3x-10+4(2)-4(x)=15[/tex]
[tex]6 -3x-10+8-4x=15[/tex]
Combine like terms left side
[tex]4-7x=15[/tex]
Adds 7x both sides
[tex]4=15+7x[/tex]
subtract 15 both sides
[tex]-11=7x[/tex]
Divide by 7 both sides
[tex]x=-\frac{11}{7}[/tex]
Part 2) Solve for x.
[tex]5(x + 1) = 4(x + 8)[/tex]
Apply distributive property both sides
[tex]5x+5=4x+32[/tex]
Group terms that contain the same variable
[tex]5x-4x=32-5[/tex]
Combine like terms
[tex]x=27[/tex]
