Question

1. Solve the following simple equations:
i. 5x + 2(2x - 1) = 3x - 14​

Answer 1

Answer:

5x+4x-2=3x-14

9x-3x=-14+2

6x=-12

x=-12/6

x=-2

Answer 2

Answer:

Step-by-step explanation:

Simplifying

5x + 2[2x + -1] = 3x + -14

Reorder the terms:

5x + 2[-1 + 2x] = 3x + -14

5x + [-1 * 2 + 2x * 2] = 3x + -14

5x + [-2 + 4x] = 3x + -14

Reorder the terms:

-2 + 5x + 4x = 3x + -14

Combine like terms: 5x + 4x = 9x

-2 + 9x = 3x + -14

Reorder the terms:

-2 + 9x = -14 + 3x

Solving

-2 + 9x = -14 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.

-2 + 9x + -3x = -14 + 3x + -3x

Combine like terms: 9x + -3x = 6x

-2 + 6x = -14 + 3x + -3x

Combine like terms: 3x + -3x = 0

-2 + 6x = -14 + 0

-2 + 6x = -14

Add '2' to each side of the equation.

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

Combine like terms: -2 + 2 = 0

0 + 6x = -14 + 2

6x = -14 + 2

Combine like terms: -14 + 2 = -12

6x = -12

Divide each side by '6'.

x = -2

Simplifying

x = -2