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Find the value of x if 3x - 12 = 2x + 8.
20
15
10
25
20
Mentally subtract 2x from 3x to get x, and add the negative constant 12 to the other side (8+12), resulting in x=20.
A linear equation in one variable: 3x - 12 = 2x + 8.
ax+b=cx+dтЯ╣x=aтИТcdтИТbтАЛ
Mentally subtract 2x from 3x to get x, and add the negative constant 12 to the other side (8+12), resulting in x=20.
Failing to change the sign of the constant when transposing it across the equality sign (e.g., keeping it as -12 instead of +12).
Group like terms
Collect all terms with the variable x on one side and constant terms on the other side by moving 2x to the left and тИТ12 to the right.
3xтИТ2x=8+12
Simplify both sides
Subtract the coefficients of x and add the numerical constants to obtain the result.
x=20
A is correct because the value of x obtained by transposing and simplifying the equation is 20.
The transposition method is foundational for Coordinate Geometry and finding intersection points of two linear functions, where you set both equations equal to each other.
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