Question

1. Solve for x:
3(2x – 1) – 10 = 8 + 5x
A. -7
B. -3
C. 19
D. 21

Answer 1

(D) 21

Step-by-step explanation:

3(2x−1)−10=8+5x

Step 1: Simplify both sides of the equation.

3(2x−1)−10=8+5x

(3)(2x)+(3)(−1)+−10=8+5x(Distribute)

6x+−3+−10=8+5x

(6x)+(−3+−10)=5x+8(Combine Like Terms)

6x+−13=5x+8

6x−13=5x+8

Step 2: Subtract 5x from both sides.

6x−13−5x=5x+8−5x

x−13=8

Step 3: Add 13 to both sides.

x−13+13=8+13

x=21

Answer 2

D. 21

Step-by-step explanation:

Given equation:
`\[3(2x – 1) – 10 = 8 + 5x\]`

Simplifying:

`\[6x – 3 – 10 = 8 + 5x\]`

=>
`\[6x – 13 = 8 + 5x\]`

=>
`\[6x – 5x = 8 + 13\]`

=>
`\[(6 – 5)x = 21\]`

=>
`\[x = 21\]`

Verifying by substituting the value of x in the equation:

Left Hand Side:
`\[3(2x – 1) – 10\]`

`\[3(2*21 – 1) – 10\]`

=
`\[3(42 – 1) – 10\]`

=
`\[3(41) – 10\]`

=
`\[123 – 10\]`

=
`\[113\]`

Right Hand Side:
`\[8 + 5x\]`

=
`\[8 + 5*21\]`

=
`\[8 + 105\]`

=
`\[113\]`

So, Left Hand Side = Right Hand Side when x=21.