9.2 Equations with unknowns on both sides — Practise with help

1. $3x$.
2. $x=7$.

If an answer differs, revisit Section 8.2 for collecting like terms and Section 9.1 for one-step equations.

Collect the constant, then divide.

Try the first operation or write the equation before opening the full solution.

Subtract $5$: $2x=12$. Divide by $2$: $x=6$.

Move one unknown term by subtracting it on both sides.

Try the first operation or write the equation before opening the full solution.

Subtract $2x$: $2x+3=13$. Subtract $3$: $x=5$.

Expand before collecting unknown terms.

Try the first operation or write the equation before opening the full solution.

$3x+3=x+9$; subtract $x$ and $3$: $2x=6$, so $x=3$.

Collect unknowns on one side.

Try the first operation or write the equation before opening the full solution.

Subtract $2x$: $3x-2=10$. Add $2$, then divide: $x=4$.

Expand and compare both sides.

Try the first operation or write the equation before opening the full solution.

Both sides reduce to $2x+8$. Every real value of $x$ is a solution.