Solve for x : -1+8(-2x-3)=-3-2(10 x-6) Answer: x=

Distribute and Simplify: Distribute the 8 and -2 inside the parentheses. -1 + 8(-2x - 3) = -3 - 2(10x - 6) -1 - 16x - 24 = -3 - 20x + 12Combine Like Terms: Combine like terms on both sides of the equation. -1 - 16x - 24 + 3 + 20x - 12 = 0 -25 - 16x + 20x = 0Further Simplification: Continue combining like terms. -25 + 4x = 0Isolate Variable: Isolate the variable x by adding 25 to both sides of the equation. 4x = 25Final Solution: Divide both sides by 4 to solve for x. x = 25 / 4 x = 6.25

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Math Problems

Grade 8

Solve equations with the distributive property

Full solution

Q. Solve for

x

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-1+8(-2 x-3)=-3-2(10 x-6)

\newline

Answer:

x=

Distribute and Simplify: Distribute the $8$ and $-2$ inside the parentheses. $\newline$ $-1 + 8(-2x - 3) = -3 - 2(10x - 6)$ $\newline$ $-1 - 16x - 24 = -3 - 20x + 12$
Combine Like Terms: Combine like terms on both sides of the equation. $\newline$ $-1 - 16x - 24 + 3 + 20x - 12 = 0$ $\newline$ $-25 - 16x + 20x = 0$
Further Simplification: Continue combining like terms. $\newline$ $-25 + 4x = 0$
Isolate Variable: Isolate the variable $x$ by adding $25$ to both sides of the equation. $4x = 25$
Final Solution: Divide both sides by $4$ to solve for $x$ . $x = \frac{25}{4}$ $x = 6.25$