Answer:
1. Multiply the term outside of the parentheses by each term in the parentheses. To do this, you are essentially distributing the outer term into the inner terms. Multiply the term outside the parentheses by the first term in the parentheses. Then multiply it by the second term. If there are more than two terms, keep distributing the term until there are no terms left. Keep whatever operation (plus or minus) is in the parentheses.
2(x-3)=10}2(x-3)=10
2(x)-(2)(3)=10}2(x)-(2)(3)=10
2x-6=10
2. Combine like terms. Before you can solve the equation, you will have to combine like terms. Combine all numerical terms with each other. Separately, combine any variable terms. To simplify the equation, arrange the terms so the variables are on one side of the equals sign and the constants (numbers only) are on the other.[2]
2x-6=10}2x-6=10…..(original problem)
2x-6(+6)=10(+6)}2x-6(+6)=10(+6)….. (Add 6 to both sides)
2x=16}2x=16….. (Variable on left; constant on right)
3. Solve the equation. Solve for {\displaystyle x}x by dividing both sides of the equation by the coefficient in front of the variable.[3]
2x=16}2x=16…..(original problem)
2x/2=16/2}2x/2=16/2…..(divide both sides by 2)
x=8}x=8…..(solution)
