Answered

Get the most out of your questions with IDNLearn.com's extensive resources. Get prompt and accurate answers to your questions from our experts who are always ready to help.

Simplify the expression:

[tex]\[15x + (-x + 6) + (-5x + 4) = 7x + 23 - x + (3 - 2x)\][/tex]

Sagot :

GinnyAnsweridn
Let's solve the equation step-by-step:

[tex]\[ 15x + (-x + 6) + (-5x + 4) = 7x + 23 - x + (3 - 2x) \][/tex]

First, simplify each side by combining like terms.

For the left-hand side:

[tex]\[ 15x + (-x + 6) + (-5x + 4) \][/tex]

Combine the terms involving [tex]\(x\)[/tex]:

[tex]\[ 15x - x - 5x = 9x \][/tex]

Combine the constant terms:

[tex]\[ 6 + 4 = 10 \][/tex]

So, the left-hand side simplifies to:

[tex]\[ 9x + 10 \][/tex]

Next, simplify the right-hand side:

[tex]\[ 7x + 23 - x + (3 - 2x) \][/tex]

Combine the terms involving [tex]\(x\)[/tex]:

[tex]\[ 7x - x - 2x = 4x \][/tex]

Combine the constant terms:

[tex]\[ 23 + 3 = 26 \][/tex]

So, the right-hand side simplifies to:

[tex]\[ 4x + 26 \][/tex]

Now, we have the simplified equation:

[tex]\[ 9x + 10 = 4x + 26 \][/tex]

Next, isolate the variable [tex]\(x\)[/tex]. Subtract [tex]\(4x\)[/tex] from both sides:

[tex]\[ 9x - 4x + 10 = 4x - 4x + 26 \][/tex]

This simplifies to:

[tex]\[ 5x + 10 = 26 \][/tex]

Subtract 10 from both sides to further isolate the term involving [tex]\(x\)[/tex]:

[tex]\[ 5x = 16 \][/tex]

Finally, divide both sides by 5:

[tex]\[ x = \frac{16}{5} \][/tex]

So, the solution to the equation is:

[tex]\[ x = \frac{16}{5} \][/tex]
We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Find the answers you need at IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.