1Cademy - Solving $$2(m - 4) + 3 = -1$$ Using a General Strategy

Learn Before

Linear Equation in One Variable
Strategy for Solving Linear Equations

Example

Solving $2(m - 4) + 3 = -1$ Using a General Strategy

To solve the linear equation $2(m - 4) + 3 = -1$ using the general strategy:

First, simplify the left side by applying the Distributive Property and combining like constant terms: $2m - 8 + 3 = -1$ , which simplifies to $2m - 5 = -1$ .

Next, collect the constant terms on the right side by adding $5$ to both sides: $2m = 4$ .

Then, divide both sides by $2$ to isolate the variable and make its coefficient equal to $1$ : $m = 2$ .

Finally, check the solution by substituting $2$ for $m$ in the original equation: $2(2 - 4) + 3 = 2(-2) + 3 = -4 + 3 = -1$ , which confirms that the solution is correct.