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