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Solve for [tex]x[/tex].

[tex]7(x - 3) = 15 + x[/tex]

Answer :

Sure! Let's solve the equation step-by-step:

The equation we need to solve is:

[tex]\[ 7(x - 3) = 15 + x \][/tex]

1. Distribute the 7 on the left side:

Multiply 7 by both terms inside the parentheses:

[tex]\[ 7(x - 3) = 7 \cdot x - 7 \cdot 3 \][/tex]

This gives us:

[tex]\[ 7x - 21 \][/tex]

So, the equation now is:

[tex]\[ 7x - 21 = 15 + x \][/tex]

2. Subtract x from both sides:

To get all the x terms on one side, subtract x from both sides:

[tex]\[ 7x - x - 21 = 15 \][/tex]

This simplifies to:

[tex]\[ 6x - 21 = 15 \][/tex]

3. Add 21 to both sides:

To isolate the term with x, add 21 to both sides:

[tex]\[ 6x - 21 + 21 = 15 + 21 \][/tex]

This simplifies to:

[tex]\[ 6x = 36 \][/tex]

4. Divide both sides by 6:

To solve for x, divide both sides by 6:

[tex]\[ \frac{6x}{6} = \frac{36}{6} \][/tex]

Which simplifies to:

[tex]\[ x = 6 \][/tex]

So, the solution to the equation [tex]\( 7(x - 3) = 15 + x \)[/tex] is [tex]\( x = 6 \)[/tex].

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