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Solve for x: 3x + 7 = 22.
5
6
7
4
5
Instantly transpose the constant term to the right-hand side and divide by the coefficient of x.
Linear equation 3x + 7 = 22
ax+b=c
Instantly transpose the constant term to the right-hand side and divide by the coefficient of x.
Forgetting to change the sign of the constant term when moving it across the equals sign.
Write down the given equation
Start with the given linear equation: 3x+7=22.
3x+7=22
Transpose the constant
Subtract 7 from both sides to isolate the term with x: 3x=22тИТ7.
3x=15
Divide by the coefficient
Divide both sides by 3 to find the value of x: x=315тАЛ.
x=5
A is correct because solving the linear equation 3x+7=22 yields x=5.
Mastering linear equations forms the foundation for solving simultaneous equations and advanced word problems in railway competitive exams.
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