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].
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].
