Solve for x : -5(x-1)+10=-(3x-3) Answer: x=

Distribute and Simplify: First, distribute the -5 into the parentheses on the left side of the equation. -5(x-1)+10=-(3x-3) -5*x + 5*1 + 10 = -1*(3x-3) -5x + 5 + 10 = -3x + 3Combine Like Terms: Combine like terms on the left side of the equation. -5x + 5 + 10 = -3x + 3 -5x + 15 = -3x + 3Isolate X Terms: Now, get all the x terms on one side and the constant terms on the other side. Add 3x to both sides of the equation. -5x + 3x + 15 = -3x + 3x + 3 -2x + 15 = 3Subtract Constant Terms: Subtract 15 from both sides to isolate the x term. -2x + 15 - 15 = 3 - 15 -2x = -12Solve for X: Divide both sides by -2 to solve for x. -2x / -2 = -12 / -2 x = 6

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for
x :

-5(x-1)+10=-(3x-3)
Answer:
x=

Solve for $x$ : $\newline$ $-5(x-1)+10=-(3 x-3)$ $\newline$ Answer: $x=$

View step-by-step help

Home

Math Problems

Algebra 1

Solve linear equations: mixed review

Full solution

Q. Solve for

x

\newline

-5(x-1)+10=-(3 x-3)

\newline

Answer:

x=

Distribute and Simplify: First, distribute the $-5$ into the parentheses on the left side of the equation. $\newline$ $-5(x-1)+10=-(3x-3)$ $\newline$ $-5\cdot x + 5\cdot 1 + 10 = -1\cdot(3x-3)$ $\newline$ $-5x + 5 + 10 = -3x + 3$
Combine Like Terms: Combine like terms on the left side of the equation. $\newline$ $-5x + 5 + 10 = -3x + 3$ $\newline$ $-5x + 15 = -3x + 3$
Isolate X Terms: Now, get all the x terms on one side and the constant terms on the other side. $\newline$ Add $3x$ to both sides of the equation. $\newline$ $-5x + 3x + 15 = -3x + 3x + 3$ $\newline$ $-2x + 15 = 3$
Subtract Constant Terms: Subtract $15$ from both sides to isolate the $x$ term. $\newline$ $-2x + 15 - 15 = 3 - 15$ $\newline$ $-2x = -12$
Solve for X: Divide both sides by $-2$ to solve for $x$ . $\newline$ $-2x / -2 = -12 / -2$ $\newline$ $x = 6$