Solve for x : -(6x+2)-7.8 x=-5+9.8(-x+1) Answer: x=

Distribute and Combine Like Terms: Simplify both sides of the equation by distributing and combining like terms. On the left side, distribute the negative sign into the parentheses: -(6x + 2) = -6x - 2 Then combine with the -7.8x term: -6x - 2 - 7.8x = -13.8x - 2 On the right side, distribute the 9.8 into the parentheses: 9.8(-x + 1) = -9.8x + 9.8 Now the equation looks like this: -13.8x - 2 = -5 - 9.8x + 9.8Combine Like Terms on Right Side: Combine like terms on the right side of the equation: -5 - 9.8x + 9.8 = -9.8x + 4.8 Now the equation is: -13.8x - 2 = -9.8x + 4.8Add 9.8x to Both Sides: Add 9.8x to both sides to get all the x terms on one side: -13.8x + 9.8x - 2 = -9.8x + 9.8x + 4.8 -4x - 2 = 4.8Add 2 to Isolate x Term: Add 2 to both sides to isolate the x term: -4x - 2 + 2 = 4.8 + 2 -4x = 6.8Divide by -4 to Solve for x: Divide both sides by -4 to solve for x: -4x / -4 = 6.8 / -4 x = -1.7

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for
x :

-(6x+2)-7.8 x=-5+9.8(-x+1)
Answer:
x=

Solve for $x$ : $\newline$ $-(6 x+2)-7.8 x=-5+9.8(-x+1)$ $\newline$ Answer: $x=$

View step-by-step help

Home

Math Problems

Algebra 1

Solve multi-step linear equations

Full solution

Q. Solve for

x

\newline

-(6 x+2)-7.8 x=-5+9.8(-x+1)

\newline

Answer:

x=

Distribute and Combine Like Terms: Simplify both sides of the equation by distributing and combining like terms. $\newline$ On the left side, distribute the negative sign into the parentheses: $\newline$ $- (6x + 2) = -6x - 2$ $\newline$ Then combine with the $-7.8x$ term: $\newline$ $-6x - 2 - 7.8x = -13.8x - 2$ $\newline$ On the right side, distribute the $9.8$ into the parentheses: $\newline$ $9.8(-x + 1) = -9.8x + 9.8$ $\newline$ Now the equation looks like this: $\newline$ $-13.8x - 2 = -5 - 9.8x + 9.8$
Combine Like Terms on Right Side: Combine like terms on the right side of the equation: $\newline$ $-5 - 9.8x + 9.8 = -9.8x + 4.8$ $\newline$ Now the equation is: $\newline$ $-13.8x - 2 = -9.8x + 4.8$
Add $9.8x$ to Both Sides: Add $9.8x$ to both sides to get all the $x$ terms on one side: $\newline$ $-13.8x + 9.8x - 2 = -9.8x + 9.8x + 4.8$ $\newline$ $-4x - 2 = 4.8$
Add $2$ to Isolate x Term: Add $2$ to both sides to isolate the x term: $\newline$ $-4x - 2 + 2 = 4.8 + 2$ $\newline$ $-4x = 6.8$
Divide by $-4$ to Solve for x: Divide both sides by $-4$ to solve for x: $\newline$ $-4x / -4 = 6.8 / -4$ $\newline$ $x = -1.7$