IDNLearn.com: Where your questions meet expert advice and community support. Ask anything and receive well-informed answers from our community of experienced professionals.

Solve for [tex]x[/tex].

[tex]7x - 4x = 6[/tex]


Sagot :

Sure, let's solve the equation [tex]\(7x - 4x = 6\)[/tex] step by step.

1. Combine like terms on the left side of the equation:
[tex]\[ 7x - 4x = (7 - 4)x = 3x \][/tex]
So, the equation simplifies to:
[tex]\[ 3x = 6 \][/tex]

2. Isolate the variable [tex]\(x\)[/tex] by dividing both sides of the equation by the coefficient of [tex]\(x\)[/tex], which is 3:
[tex]\[ \frac{3x}{3} = \frac{6}{3} \][/tex]
Simplifying this gives:
[tex]\[ x = 2 \][/tex]

Therefore, the solution to the equation [tex]\(7x - 4x = 6\)[/tex] is:
[tex]\[ \boxed{2} \][/tex]

Answer:

Step-by-step explanation:

To solve the equation \( 7x - 4x = 6 \), follow these steps:

1. Combine like terms on the left-hand side of the equation:

  \[ 7x - 4x = 3x \]

2. Substitute back into the original equation:

  \[ 3x = 6 \]

3. Solve for \( x \) by dividing both sides by 3:

  \[ x = \frac{6}{3} \]

  \[ x = 2 \]

So, the solution to the equation \( 7x - 4x = 6 \) is \( x = 2 \).