Question

(i)
2x - (7 - 5x)_3
9x - (4 - 2x) 7​

Answer 1

1.Simplifying

2x + -7 = 5x + -3

Reorder the terms:

-7 + 2x = 5x + -3

Reorder the terms:

-7 + 2x = -3 + 5x

Solving

-7 + 2x = -3 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.

-7 + 2x + -5x = -3 + 5x + -5x

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

-7 + -3x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 0

-7 + -3x = -3 + 0

-7 + -3x = -3

Add '7' to each side of the equation.

-7 + 7 + -3x = -3 + 7

Combine like terms: -7 + 7 = 0

0 + -3x = -3 + 7

-3x = -3 + 7

Combine like terms: -3 + 7 = 4

-3x = 4

Divide each side by '-3'.

x = -1.333333333

Simplifying

x = -1.333333333

2.Simplifying

9x + -4 = 2x + 7

Reorder the terms:

-4 + 9x = 2x + 7

Reorder the terms:

-4 + 9x = 7 + 2x

Solving

-4 + 9x = 7 + 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.

-4 + 9x + -2x = 7 + 2x + -2x

Combine like terms: 9x + -2x = 7x

-4 + 7x = 7 + 2x + -2x

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

-4 + 7x = 7 + 0

-4 + 7x = 7

Add '4' to each side of the equation.

-4 + 4 + 7x = 7 + 4

Combine like terms: -4 + 4 = 0

0 + 7x = 7 + 4

7x = 7 + 4

Combine like terms: 7 + 4 = 11

7x = 11

Divide each side by '7'.

x = 1.571428571

Simplifying

x = 1.571428571