Question

Simplify the given equation.

Answer 1

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

$x=27$