explain why the equation in each group are equivalent equation in 5x + 8 =2(2x-3)5x +8=4x-6 and 5x-4x=-6 - 8
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yes they are at allbf through jai
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5x + 8 = 2(2x-3)
5x +8 = 4x-6
5x-4x = -6 - 8
x = -14
Therefore, equivalent equations mean that equations that have the same solutions. Now, if you substitute the value of x on both sides of the equation, you will get the same answer. In simple words, the left-hand side of the equation will be equal to the right-hand side of the equation.
Let’s check:
5x + 8 = 2(2x-3)
5(-14) + 8 = 2[(2(-14) -3)]
-70 + 8 = 2(-28 - 3)
-62 = 2(-31)
-62 = -63
Hope this will help.
5x +8 = 4x-6
5x-4x = -6 - 8
x = -14
Therefore, equivalent equations mean that equations that have the same solutions. Now, if you substitute the value of x on both sides of the equation, you will get the same answer. In simple words, the left-hand side of the equation will be equal to the right-hand side of the equation.
Let’s check:
5x + 8 = 2(2x-3)
5(-14) + 8 = 2[(2(-14) -3)]
-70 + 8 = 2(-28 - 3)
-62 = 2(-31)
-62 = -63
Hope this will help.
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