Question

Solve: 3x - 2x + 4 = 5x - 4x - 8

Answer 1

The equation $3x-2x+4=5x-4x-8$ has $\boxed{\text{\bf no solution}}$.

Further explanation:

Given:

The equation is $3x-2x+4=5x-4x-8$.

Calculation:

The above equation involves only one variable.

To solve a one variable linear equation, arrange all the terms that contain variable on one side and the terms that are free from variable on the other side.

Write the given equation by taking terms that contains variable on left side and the terms which are free from variables on right side.

Subtract $(5x-4x)$ from both the sides of the given equation.

$\begin{aligned}3x-2x+4&=5x-4x-8\\3x-2x-5x+4x+4&=5x-4x-8-5x+4x\\7x-7x+4&=-8\end{aligned}$

Subtract $4$ from both the sides of the above equation,

$\begin{aligned}7x-7x+4-4&=-8-4\\0&=-12\end{aligned}$  

The above equation shows that the value of $0$ is equal to $-12$.

The statement “0 is equal to -12” is a false statement.

Therefore, the equation $3x-2x+4=5x-4x-8$ has no solution.

No solution means there exists no value of $x$ that satisfies the given equation.

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Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Linear equation

Keywords: Equation, variable, 3x - 2x + 4 = 5x - 4x – 8, constant, linear equation, no solution, solve, addition, subtraction, isolate, plug, substitute.

Answer 2

Answer:

No solution for the given algebraic expression.

Step-by-step explanation:

To solve the algebraic equation we must isolating the variable or rewriting the equation so that the one expression is only the variable with the coefficient 1.

Solve: $3x-2x+4=5x-4x-8$

Now put every terms that contains variables on one side of the equation and those terms on the other side which does not contains the variable.

$3x-2x-5x+4x=-4-8$

Combine like terms:

$x-x=-12$

$0=-12$ which is not true.

therefore, the given expression have NO SOLUTION.