1.) -2(6 - 2x) = 4(-3 + x) 2.) 5 - 1(2x + 3) = -2(4 + x)

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

Question 1:   −2(6−2x) =4(−3+x)

Step 1: Simplify both sides of the equation.

−2(6−2x) =4(−3+x)

(−2) (6) +(−2) (−2x) =(4)(−3)+(4)(x)(Distribute)

−12+4x=−12+4x

4x−12=4x−12

Step 2: Subtract 4x from both sides.

4x−12−4x=4x−12−4x

−12=−12

Step 3: Add 12 to both sides.

−12+12=−12+12

0=0

 All real numbers are solutions.

Question 2:  

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

5−1(2x+3) =−2(4+x)

Step 1: Simplify both sides of the equation.

5−1(2x+3) =−2(4+x)

5+(−1) (2x) +(−1) (3) =(−2) (4)+(−2)(x)(Distribute)

5+−2x+−3=−8+−2x

(−2x) +(5+−3) =−2x−8(Combine Like Terms)

−2x+2=−2x−8

−2x+2=−2x−8

Step 2: Add 2x to both sides.

−2x+2+2x=−2x−8+2x

2=−8

Step 3: Subtract 2 from both sides.

2−2=−8−2

0=−10

There are no solutions.

do you mean add both of the equations together

because if you do the answer is 10x-5

step-by-step explanation:

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.