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Solve for x: 3x + 15 = 45
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Subtract the constant from the total first: 45 - 15 = 30. Then, divide by the coefficient of x: 30 / 3 = 10.
A linear equation 3x + 15 = 45 is provided.
ax+b=cтЯ╣x=acтИТbтАЛ
Subtract the constant from the total first: 45 - 15 = 30. Then, divide by the coefficient of x: 30 / 3 = 10.
Students often add 15 instead of subtracting it from both sides, or divide 45 by 3 before subtracting the constant (ignoring BODMAS/transposition rules).
Subtract the constant
Subtract 15 from both sides of the equation to isolate the term containing x.
3x=45тИТ15
Simplify the equation
Perform the subtraction on the right-hand side.
3x=30
Isolate x
Divide both sides of the equation by 3.
x=330тАЛ
Final calculation
The value of x is found to be 10.
x=10
B is correct because the step-by-step simplification of 3x + 15 = 45 leads to 3x = 30, which results in x = 10.
Mastering the transposition of constants is the foundation for solving complex word problems in ratio, proportion, and speed-distance-time chapters.
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