Multi-Step Equations Math Example 4

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

Example 4

hard
Solve 5−2(3x+1)=4x−75 - 2(3x + 1) = 4x - 7.

Solution

  1. 1
    Distribute: 5−6x−2=4x−75 - 6x - 2 = 4x - 7, so 3−6x=4x−73 - 6x = 4x - 7.
  2. 2
    Add 6x6x: 3=10x−73 = 10x - 7. Add 7: 10=10x10 = 10x. So x=1x = 1.

Answer

x=1x = 1
Careful with the negative distribution: −2(3x+1)=−6x−2-2(3x+1) = -6x - 2, not −6x+1-6x + 1.

About Multi-Step Equations

Solving equations that require more than one inverse operation—typically involving distributing, combining like terms, and moving variables to one side before isolating the variable.

Learn more about Multi-Step Equations →

More Multi-Step Equations Examples

Example 1 easy

Solve [formula].

Example 2 medium

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Example 3 easy

Solve [formula].

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