The equation is 3x+24=2x+16 and the solution is x=-8.
The given statement is three times the sum of a number and eight is four more than twice the sum of the number and six.
What is an equation?
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the unknown number be x.
Now, three times the sum of a number and eight=3(x+8)
Four more than twice the sum of the number and six=2(x+6)+4
So, 3(x+8)=2(x+6)+4
⇒3x+24=2x+12+4
⇒3x+24=2x+16
⇒x=-8
Therefore, the equation is 3x+24=2x+16 and the solution is x=-8.
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