Someone help please: find the value of x 2x - 2 = 4x + 6

Question

asked Feb 9, 2023 29.2k views

2 Answers

KirstieBallance · Answer 1 · 2023-02-15T10:40:32+0000

Given Equation :-

$\qquad$
$\pink{\bf \longrightarrow 2x -2 = 4x +6}$

Let's overturn the equation –

$\qquad$
$\sf \longrightarrow 4x +6 = 2x -2$

Subtract 2x from both side –

$\qquad$
$\sf \longrightarrow 4 x +6 -2x = 2x -2 -2x$

Cancel 2x from right side & also simplify this equation

$\qquad$
$\sf \longrightarrow 4 x +6 -2x =\cancel{ 2x} -2 -\cancel{2x}$

$\qquad$
$\sf \longrightarrow 2x +6 = -2$

Now, subtract 6 from both side

$\qquad$
$\sf \longrightarrow 2x +6 -6 = -2-6$

Once again, cancel 6 from left side –

$\qquad$
$\sf \longrightarrow 2x +\cancel{6} -\cancel{6} = -2-6$

On simplification –

$\qquad$
$\sf \longrightarrow 2x = -8$

Now, divide both sides by 2

$\qquad$
$\sf \longrightarrow (2x)/(2) = (-8)/(2)$

$\qquad$
$\sf \longrightarrow \frac{\cancel{2}x}{\cancel{2}} =\cancel{ (-8)/(2)}$

$\qquad$
$\pink{\bf \longrightarrow x = -4}$