Question

question 5 of 5
select the correct answer.
which statement is true about this equation?
-(2x + 4) + x = 3x - 4x - 4

• the equation has one solution, x = 0.
• the equation has one solution, x = 4.
• the equation has no solution.
• the equation has infinitely many solutions.

Explanation:

Step1: Simplify left side

Distribute the negative sign: $-(2x + 4) + x = -2x - 4 + x$. Combine like terms: $-2x + x - 4 = -x - 4$.

Step2: Simplify right side

Combine like terms: $3x - 4x - 4 = -x - 4$.

Step3: Compare both sides

Left side: $-x - 4$, Right side: $-x - 4$. Both sides are identical, so any value of $x$ will satisfy the equation.

Answer:

The equation has infinitely many solutions.