Solve multi-step linear equations, including equations requiring simplification first.
Solve a signed multi-step equation
Problem
Solve the equation: \(-3x~+~8~+~x~=~0\)
Big Picture
What this problem is really about
Combine the signed variable terms before solving, remembering that the lone x has an understood positive-one coefficient. Keep the resulting negative coefficient attached as you remove the constant and divide. The sign of the quotient follows from dividing two signed numbers, and substitution verifies the arithmetic.
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