Question

Problem 3

Solve each equation.
1. 2(x – 3) = 14
2. -5(x - 1) = 40
3. 12(x + 10) = 24
4. 2(x + 6) = 11
5. 5/7(x – 9) = 25

Answer 1

Mathpapa

Explanation:

Answer 2

Problem 1 Answer:
`x=10`

Simplify both sides of the equation

`(2)(x)+(2)(-3)=14(Distribute)`

`2x+-6=14`

`2x-6=14`

Add 6 to both sides

`2x-6+6=14+6`

`2x=20`

Divide both sides by 2

`2x/2=20/2`

`x=10`

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Problem 2 Answer:
`x=-7`

Simplify both sides of the equation

`(-5)(x)+(-5)(-1)=40(Distribute)`

`-5x+5=40`

Subtract 5 from both sides

`-5x+5-5=40-5`

`-5x=35`

Divide both sides by -5

`-5x/5=35/-5`

`x=-7`

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Problem 3 Answer:
`x=-8`

Simplify both sides of the equation

`(12)(x)+(12)(10)=24(Distribute)`

`12x+120=24`

Subtract 120 from both sides

`12x+120-120=24-120`

`12x=-96`

Divide both sides by 12

`12x/12=-96/12`

`x=-8`

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Problem 4 Answer:
`x=-1/2`

Move all terms to the left:

`2(x+6)-(11)=0`

Multiply parentheses

`2x+12-11=0`

Add all the numbers together, and all the variables

`2x+1=0`

Move all terms containing x to the left, all other terms to the right

`2x=-1\\x=-1/2`

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Problem 5 Answer:
`x = 44`