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Start by identify the equal sign.
Equation: 12-2x=- 34
Solution: x=23
We want to write an equation for the given the sentence.
Twelve decreased by twice a number equals- 34
Notice that the last part of the sentence, ...equals - 34,
tells us that something should be equal to - 34. So far we have the following equation.
...equals - 34
tells us what should be on the left-hand side of the equation. Twelve decreased by twice a number
means that we should subtract some number, which we can call x, multiplied by 2 from 12. Now we can write our equation.
Twelve decreased & by twice a number equals $- 34$
& 12 - 2x =- 34
We can solve the equation by isolating x on the left-hand side.
LHS-12=RHS-12
Subtract terms
.LHS /(- 2).=.RHS /(- 2).
- a/- b=a/b
Calculate quotient
Therefore, x=23 is the solution to the equation.