Please help me with math

see below

Step-by-step explanation:

1) 4, -3, -10, -17,...

d = -3 - 4 = -7 or -10 - (-3) = -7

Arithmetic , d = -7

2) 4, 8, 16, 32,...

d = 8 - 4 = 4, 16 - 8 = 8,

d is not same

so Not Arithmetic

3) 7, 12, 17, 22,

d = 12 - 7 = 5 or 17 - 12 = 5 or 22 - 17 = 5

so Arithmetic, d = 5

step-by-step explanation:

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simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .