Question

algebra : multistep equations

solve for x
​

Answer 1

7x+3x-(10x+2)=5+x

7x+3x-10x-x=5-2

7x+3x-10x-x=3

10x-10x-x=3

0-x=3

-x=3

x=-3

x/2+6=16

x/2=16-6

x/2=10

x=10/2

x=5

8+2(x-7) =0

8+2x-14=0

-6+2x=0

2x=6

x=3

Answer 2

Step-by-step explanation:

We Have :-

$7x + 3x - (10x + 2) = 5 + x \\ \\ \\ \dfrac{x}{2} + 6 = 16 \\ \\ \\ 8 + 2(x - 7) = 0$

To Find :-

$x$

Solution :-

$question \: 1 \\ \\ \\ 7x + 3x - (10x + 2) = 5 + x \\ \\ \\ 7x + 3x - 10x - 2 = 5 - x \\ \\ \\ 10x - 10x - 2 = 5 - x \\ \\ \\ - 2 = 5 - x \\ \\ \\ - 2 - 5 = - x \\ \\ \\ - 7 = - x \\ \\ \\ x = 7$

$question \: 2 \\ \\ \\ \dfrac{x}{2} + 6 = 16 \\ \\ \\ \dfrac{x + 12}{2} = 16 \\ \\ \\ x + 12 = 32 \\ \\ \\ x = 32 - 12 \\ \\ \\ x = 20$

$question \: 3 \\ \\ \\ 8 + 2(x -7) = 0 \\ \\ \\ 8 + 2x - 14 = 0 \\ \\ \\ 2x - 6 = 0 \\ \\ \\ 2x = 6 \\ \\ \\ x = \dfrac{6}{2} \\ \\ \\ x = 3$