Answer :
Sure! Let’s solve the equation step by step:
We start with the equation:
[tex]\[ 215 + 8x = 20x - 157 \][/tex]
1. Get all terms with [tex]\(x\)[/tex] on one side:
- Subtract [tex]\(8x\)[/tex] from both sides:
[tex]\[ 215 = 20x - 8x - 157 \][/tex]
2. Simplify both sides:
- Combine the [tex]\(x\)[/tex] terms on the right side:
[tex]\[ 215 = 12x - 157 \][/tex]
3. Isolate the [tex]\(x\)[/tex] term:
- Add 157 to both sides to move the constant term:
[tex]\[ 215 + 157 = 12x \][/tex]
4. Calculate the sum on the left side:
[tex]\[ 372 = 12x \][/tex]
5. Solve for [tex]\(x\)[/tex]:
- Divide both sides by 12 to solve for [tex]\(x\)[/tex]:
[tex]\[ x = \frac{372}{12} \][/tex]
6. Perform the division:
[tex]\[ x = 31 \][/tex]
So, the solution to the equation is [tex]\( x = 31 \)[/tex].
We start with the equation:
[tex]\[ 215 + 8x = 20x - 157 \][/tex]
1. Get all terms with [tex]\(x\)[/tex] on one side:
- Subtract [tex]\(8x\)[/tex] from both sides:
[tex]\[ 215 = 20x - 8x - 157 \][/tex]
2. Simplify both sides:
- Combine the [tex]\(x\)[/tex] terms on the right side:
[tex]\[ 215 = 12x - 157 \][/tex]
3. Isolate the [tex]\(x\)[/tex] term:
- Add 157 to both sides to move the constant term:
[tex]\[ 215 + 157 = 12x \][/tex]
4. Calculate the sum on the left side:
[tex]\[ 372 = 12x \][/tex]
5. Solve for [tex]\(x\)[/tex]:
- Divide both sides by 12 to solve for [tex]\(x\)[/tex]:
[tex]\[ x = \frac{372}{12} \][/tex]
6. Perform the division:
[tex]\[ x = 31 \][/tex]
So, the solution to the equation is [tex]\( x = 31 \)[/tex].
