What is x in the equation -3(7-2x)+3=8x-10

x=-4

Step-by-step explanation:

−3(7−2x)+3=8x−10

Step 1: Simplify both sides of the equation.

−3(7−2x)+3=8x−10

(−3)(7)+(−3)(−2x)+3=8x+−10(Distribute)

−21+6x+3=8x+−10

(6x)+(−21+3)=8x−10(Combine Like Terms)

6x+−18=8x−10

6x−18=8x−10

Step 2: Subtract 8x from both sides.

6x−18−8x=8x−10−8x

−2x−18=−10

Step 3: Add 18 to both sides.

−2x−18+18=−10+18

−2x=8

Step 4: Divide both sides by -2.

−2x

−2

=

8

−2

x=−4

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2