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An expression does not equate to anything. An equation is equal to something.

Expression:

x+2

Equation:

x+4=2x

Equivalent expressions:

x+2 and 2x-2 if x=4

Equivalent equations:

x+4=2x and -x+10=2x if x=4

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Q: What is the difference between equivalent expressions and equivalent equations?
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Related questions

What is the difference between algebra equations and expressions?

expressions don't have an equal sign and equations do


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equations have an = sign, inequalities do not


How are algebraic expressions and equations alike?

Algebraic expressions are the written relations of or between variables. For example, x2, 1/x, and x + y + z are all algebraic expressions. Algebraic equations are simply algebraic expressions that equate to something. For example, x2 = 4, 1/x = y, and x + y + z = 42 are all algebraic equations. In general, one differentiates algebraic expressions from exponential, trigonometric, hyperbolic, and logarithmic expressions by requiring algebraic expressions to be confined to polynomial expressions. I've added a link regarding polynomials below.


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The electric displacement field is a vector field, shown as D in equations and is equivalent to flux density. The electric field is shown as E in physics equations.