Solve for g. -3g - 10 = -6g + 8 g = ____

Start with the equation: Start with the equation -3g - 10 = -6g + 8. We want to get all the g terms on one side and the constant terms on the other side. Let's add 6g to both sides to move the g terms to the left side. -3g - 10 + 6g = -6g + 8 + 6gSimplify the equation: Simplify the equation by combining like terms. (-3g + 6g) - 10 = 8 3g - 10 = 8Isolate g: Now, we want to isolate g. To do this, we'll add 10 to both sides to move the constant term to the right side. 3g - 10 + 10 = 8 + 10 3g = 18Divide to solve for g: Finally, divide both sides by 3 to solve for g. 3g / 3 = 18 / 3 g = 6

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Solve for $g$ . $\newline$ $-3g - 10 = -6g + 8$ $\newline$ $g =$ ____

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Algebra 1

Solve linear equations with variables on both sides

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Q. Solve for

g

\newline

-3g - 10 = -6g + 8

\newline

g =

____

Start with the equation: Start with the equation $-3g - 10 = -6g + 8$ . We want to get all the $g$ terms on one side and the constant terms on the other side. Let's add $6g$ to both sides to move the $g$ terms to the left side. $\newline$ $-3g - 10 + 6g = -6g + 8 + 6g$
Simplify the equation: Simplify the equation by combining like terms. $\newline$ $(-3g + 6g) - 10 = 8$ $\newline$ $3g - 10 = 8$
Isolate $g$ : Now, we want to isolate $g$ . To do this, we'll add $10$ to both sides to move the constant term to the right side. $3g - 10 + 10 = 8 + 10$ $3g = 18$
Divide to solve for $g$ : Finally, divide both sides by $3$ to solve for $g$ . $\frac{3g}{3} = \frac{18}{3}$ $g = 6$