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not always,sometimes you have to solve for x
There is no such thing as "solving integers". You can solve an equation, which means finding all the unknowns in that equation, but you can't solve an integer.
verbs are - solve, solves, solved, solving adjectives are - solvent, solved, solvable
That depends on the type of problem. For example, if you have equations involving radicals, it often helps to square both sides of the equation. Note that when you do this, you may introduce additional solutions, which are not solutions to the original equation.
density = mass / volume Solving for mass: mass = density x volume Solving for volume: volume = mass / density