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Solve x + 1 = 3x - 6

How to solve x + 1 = 3x - 6? Get the answer and stepwise instruction to solve linear equation in one variable 𝒙.

Steps for finding the solution

We have x + 1 = 3x - 6

First, we move the x terms to the LHS and constant terms to the RHS of the equation, inverting the sign on the terms. This is also called transposing method.

Transposition is a faster method and combines the following two steps, were we to solve the equation by:
i) Subtracting 1 from both sides
ii) Subtracting 3x from both sides

Therefore, x - 3x = -6 - 1

or, -2x = -7

Next, divide both sides by -2, which is the coefficent of x

Note: if a = b, then a ÷ c = b ÷ c

-2x/-2 = -7/-2

x = -7/-2 or, x = 3.5

Solve another equation

𝒙 =

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