Solve for x : 7-(10 x+8)=-(4x-7)-8 Answer: x=

Expand Equation: Expand the equation by distributing the negative sign inside the parentheses. Distribute the negative sign on both sides of the equation. 7 - 10x - 8 = -4x + 7 - 8Combine Like Terms: Combine like terms on both sides of the equation. On the left side, combine 7 and -8. On the right side, combine 7 and -8. -10x - 1 = -4x - 1Cancel Constants: Since the constants on both sides of the equation are the same, they cancel each other out. Remove -1 from both sides of the equation. -10x = -4xIsolate Variable: Isolate the variable x by getting all terms with x on one side. Add 4x to both sides of the equation to move the x terms to one side. -10x + 4x = -4x + 4x -6x = 0Solve for x: Solve for x. Divide both sides by -6 to isolate x. -6x / -6 = 0 / -6 x = 0

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Solve for
x :

7-(10 x+8)=-(4x-7)-8
Answer:
x=

Solve for $x$ : $\newline$ $7-(10 x+8)=-(4 x-7)-8$

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Math Problems

Grade 8

Solve equations with the distributive property

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Q. Solve for

x

\newline

7-(10 x+8)=-(4 x-7)-8

Expand Equation: Expand the equation by distributing the negative sign inside the parentheses. $\newline$ Distribute the negative sign on both sides of the equation. $\newline$ $7 - 10x - 8 = -4x + 7 - 8$
Combine Like Terms: Combine like terms on both sides of the equation. $\newline$ On the left side, combine $7$ and $-8$ . On the right side, combine $7$ and $-8$ . $\newline$ $-10x - 1 = -4x - 1$
Cancel Constants: Since the constants on both sides of the equation are the same, they cancel each other out. $\newline$ Remove $-1$ from both sides of the equation. $\newline$ $-10x = -4x$
Isolate Variable: Isolate the variable $x$ by getting all terms with $x$ on one side. $\newline$ Add $4x$ to both sides of the equation to move the $x$ terms to one side. $\newline$ $-10x + 4x = -4x + 4x$ $\newline$ $-6x = 0$
Solve for x: Solve for x. $\newline$ Divide both sides by $-6$ to isolate $x$ . $\newline$ $-6x / -6 = 0 / -6$ $\newline$ $x = 0$