What is the value of x in the equation ?

StartFraction 2 Over 3 EndFraction left-parenthesis StartFraction one-half EndFraction. x plus 12 right-parenthesis equals left-parenthesis StartFraction one-half EndFraction left-parenthesis StartFraction one-third EndFraction x plus 14 right-parenthesis minus 3.
StartFraction one-half EndFraction left-parenthesis n minus 4 right-parenthesis minus 3 equals 3 minus left-parenthesis 2 n plus 3 right-parenthesis.
2
13

Part A:  x = -24

Part B:  n = 2

Step-by-step explanation:

Part A:

The algebraic expression for: "StartFraction 2 Over 3 EndFraction left-parenthesis StartFraction one-half EndFraction. x plus 12 right-parenthesis equals left-parenthesis StartFraction one-half EndFraction left-parenthesis StartFraction one-third EndFraction x plus 14 right-parenthesis minus 3" will be ⇒

Multiply both sides by 6

∴

∴

∴ 2x + 4*12 = x + 3 *14 - 18

∴ 2x - x = 3 * 14 - 18 - 4 * 12 = -24

∴ x = -24

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Part B:

The algebric expression for: "StartFraction one-half EndFraction left-parenthesis n minus 4 right-parenthesis minus 3 equals 3 minus left-parenthesis 2 n plus 3 right-parenthesis" will be ⇒

Multiply both sides by 2

(n-4) - 6 = 6 - 2(2n+3)

n - 4 - 6 = 6 - 4n - 6

Combine like terms

n + 4 n = 4 + 6

5n = 10

n = 10/5 = 2

∴ n = 2

93.8

step-by-step explanation:

lets say, first number = x

second number = 3x+7

total = 49

(x)+(3x+7)= 49

4x+7 = 49

4x = 42

x = 42/4

x= 10.5

x= 10.5

3x+7 = 3(10.5)+7 = 93.8

hope this