Equations

Ontario 09 Academic (MPM1D)

Variables on both sides I

Lesson

We looked at how to rearrange number values to solve equations. Now we're going to look at what to do when we have algebraic terms on both sides of the equation. Basically it's the same process. We want to group the like terms, so we have all the variables on one side and all the numbers on the other. Then we can solve the equation.

Solve the following equation: $6x-20=x$6`x`−20=`x`

Solve the following equation: $8x-36=4x$8`x`−36=4`x`

Find the solution for the following equation: $3\left(x+6\right)=x$3(`x`+6)=`x`

Solve first-degree equations, including equations with fractional coefficients, using a variety of tools and strategies