Exercise 13 Page 45

Move the variable terms to one side of the equation.

All real numbers

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To solve an equation, we should first gather all of the variable terms on one side and all of the constant terms on the other side using the Properties of Equality. In this case, we need to start by using the Distributive Property to simplify the left- and right-hand sides of the equation.

5(1+x)=5x+5

Distr

Distribute 5

5* 1+5* x=5x+5

Multiply

5+5x=5x+5

SubEqn

LHS-5x=RHS-5x

5+5x-5x=5x+5-5x

SubTerms

Subtract terms

5=5

We have arrived to 5=5, which is an identity. Whenever we arrive at an identity, it means the equation is true for all values of x. Therefore, the solution set for this equation is all real numbers.

Subchapter links

1 Solving Simple Equations p.44

2 Solving Multi-Step Equations p.44

3 Solving Equations with Variables on Both Sides p.45

4 Solving Absolute Value Equations p.45

5 Rewriting Equations and Formulas p.46

Exercise 13 Page 45

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