Question

Solve for the value of x :-4(3+x)+x=x+4​

Answer 1

$\qquad\qquad\huge\underline{{\sf Answer}}$

Let's solve for x ~

$\qquad \tt \dashrightarrow \: 4(3 + x) + x = x + 4$

$\qquad \tt \dashrightarrow \: 12 + 4x+ x = x + 4$

$\qquad \tt \dashrightarrow \: 5x + 12 = x + 4$

$\qquad \tt \dashrightarrow \: 5x - x = 4 - 12$

$\qquad \tt \dashrightarrow \: 4x = - 8$

$\qquad \tt \dashrightarrow \: x = - 8 \div 4$

$\qquad \dashrightarrow \: \boxed{ \tt x = - 2 }$

Answer 2

$\bold{Hello!}$

$\large \sf \dagger \: {Explanation \: \dagger }$

Let's solve for x ~

$\sf{4(3 \: + \: x) \: + \: x = x \: + \: 4}$

Step 1: Simplify both sides of the equation.

$\sf{4(3 \: + \: x) \: + \: x = x \: + \: 4}$

$\sf{(4)(3) \: + \: (4)(x) \: + \: x = x \: + \: 4} \: (Distribute)$

$\sf{12 \: + \: 4x \: + \: x = x \: + \: 4}$

$\sf{(4x \: + \: x) \: + \: (12) = x \: + \: 4} \: (Combine \: Like \: Terms)$

$\sf{5x \: + \: 12 = x \: + \: 4}$

$\sf{5x \: + \: 12 = x \: + \: 4}$

Step 2: Subtract x from both sides.

$\sf{5x \: + \: 12 \: - \: x = x \: + \: 4 \: - \: x}$

$\sf{4x \: + \: 12 = 4}$

Step 3: Subtract 12 from both sides.

$\sf{4x \: + \: 12 \: - \: 12 = 4 \: - \: 12}$

$\sf{4x = -8}$

Step 4: Divide both sides by 4.

$\sf{\frac{4x}{4} = \frac{-8}{4}$

$\sf{x = -2}$