Algebraic Manipulation Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
Simplify 5x−3+2x+75x - 3 + 2x + 7.

Solution

  1. 1
    Combine like terms: (5x+2x)+(−3+7)=7x+4(5x + 2x) + (-3 + 7) = 7x + 4.
  2. 2
    Check: At x=0x = 0: −3+7=4-3 + 7 = 4 ✓

Answer

7x+47x + 4
Group variable terms and constant terms separately, then combine. This is the most basic form of algebraic manipulation.

About Algebraic Manipulation

Algebraic manipulation is the process of rewriting expressions or equations into equivalent forms to reveal structure or solve for unknowns.

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More Algebraic Manipulation Examples

Example 1 easy

Simplify [formula].

Example 2 medium

Solve for [formula]: [formula].

Example 4 medium

Rearrange [formula] to solve for [formula].

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