Question

Solve the following equations :

Answer 1

$\dfrac{9x - (3 + 4x)}{2x - (7-5x)} = \dfrac{6}{7}$

Remove brackets:

$\dfrac{9x - 3 - 4x}{2x - 7+ 5x} = \dfrac{6}{7}$

Combine like terms:

$\dfrac{5x - 3}{7x - 7} = \dfrac{6}{7}$

Cross multiply:

$7(5x - 3) = 6(7x - 7)$

Distribute 7 and 6:

$35x - 21 = 42x -42$

Move x to the LHS:

$42x - 35x = 42 - 21$

Combine like terms:

$7x = 21$

Divide both sides by 7:

$x = 3$

.

Answer: x = 3

Answer 2

Hey mate thank for the question
9x-(3+4x)/2x-(7-5x)=6/7
9x-3-4x/2x-7+5x=6/7
5x-3/7x-7=6/7
35x-21=42x-42
42-21=42x-35x
21=7x
21/7=x
3=x