Question

solving Linear Equation in One Variable
a. -5(x-1)-2(x+5)=3(x+5)
b. 9(z-3)=8z
as you give right answer so I make in brainliest

Answer 1

a) -5x+5-2x-10= 3x+15
=) -7x-5=3x+15
=) -10x=20
=) x=-2

b) 9z-27=8z
=) z=27

Answer 2

Let's solve your equation step-by-step.

1) −5(x−1)−2(x+5)=3(x+5)

Step 1: Simplify both sides of the equation.

−5(x−1)−2(x+5)=3(x+5)

(−5)(x)+(−5)(−1)+(−2)(x)+(−2)(5)=(3)(x)+(3)(5)(Distribute)

−5x+5+−2x+−10=3x+15

(−5x+−2x)+(5+−10)=3x+15(Combine Like Terms)

−7x+−5=3x+15

−7x−5=3x+15

Step 2: Subtract 3x from both sides.

−7x−5−3x=3x+15−3x

−10x−5=15

Step 3: Add 5 to both sides.

−10x−5+5=15+5

−10x=20

Step 4: Divide both sides by -10.

−10x

−10

=

20

−10

x=−2

Answer:

x=−2

2) 9(z−3)=8z

Step 1: Simplify both sides of the equation.

9(z−3)=8z

(9)(z)+(9)(−3)=8z(Distribute)

9z+−27=8z

9z−27=8z

Step 2: Subtract 8z from both sides.

9z−27−8z=8z−8z

z−27=0

Step 3: Add 27 to both sides.

z−27+27=0+27

z=27

Answer:

z=27