Identify Equation: Identify the equation to solve. The equation given is 4(-x+3) = 20. We need to find the value of x that satisfies this equation.Distribute 4: Distribute the 4 across the terms inside the parentheses. 4 * (-x) + 4 * 3 = 20 This simplifies to -4x + 12 = 20.Subtract 12: Subtract 12 from both sides of the equation to isolate the term with x. -4x + 12 - 12 = 20 - 12 This simplifies to -4x = 8.Divide by -4: Divide both sides of the equation by -4 to solve for x. -4x / -4 = 8 / -4 This simplifies to x = -2.

Grade 7

Solve two-step equations with parentheses

Full solution

Q. f)

4(-x+3)=20

Identify Equation: Identify the equation to solve. $\newline$ The equation given is $4(-x+3) = 20$ . We need to find the value of $x$ that satisfies this equation.
Distribute $4$ : Distribute the $4$ across the terms inside the parentheses. $\newline$ $4 \times (-x) + 4 \times 3 = 20$ $\newline$ This simplifies to $-4x + 12 = 20$ .
Subtract $12$ : Subtract $12$ from both sides of the equation to isolate the term with $x$ . $\newline$ $-4x + 12 - 12 = 20 - 12$ $\newline$ This simplifies to $-4x = 8$ .
Divide by $-4$ : Divide both sides of the equation by $-4$ to solve for x. $\newline$ $-4x / -4 = 8 / -4$ $\newline$ This simplifies to $x = -2$ .