The equation 3x+4=5x-4 has the solution set {4}. explain why the equation (3x+4)+4=5x-4)+4 also has the solution set {4}
1 answer:
Notice that the terms in parentheses on both sides of the equation are added to 4.
(3x + 4) + 4 = (5x - 4) + 4
So we can set the equation as.
3x + 4 = 5x - 4
Subtract 3x on both sides of equation.
4 = 2x - 4
Add 4 on both sides of equation.
8 = 2x
Divide both sides of equation by 2.
4 = x
4 is the only value that satisfies the statement.
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