Solve for x. -4.5=-0.5(x-7.1)

Distribute -0.5: First, we need to distribute the -0.5 across the parentheses on the right side of the equation. -4.5 = -0.5 * x + (-0.5) * (-7.1)Perform multiplication: Now, let's perform the multiplication. -4.5 = -0.5x + 3.55Isolate variable x: Next, we want to isolate the variable x on one side of the equation. To do this, we'll add 0.5x to both sides. -4.5 + 0.5x = -0.5x + 0.5x + 3.55Combine like terms: Simplify the equation by combining like terms. 0.5x - 4.5 = 3.55Add 4.5 to both sides: Now, we'll add 4.5 to both sides to isolate the term with x. 0.5x - 4.5 + 4.5 = 3.55 + 4.5Find value of 0.5x: Perform the addition to find the value of 0.5x. 0.5x = 8.05Divide by 0.5: Finally, we'll divide both sides by 0.5 to solve for x. x = 8.05 / 0.5Calculate x: Calculate the division to find the value of x. x = 16.1

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Algebra 1

Solve linear equations: mixed review

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Q. Solve for

x

\newline

-4.5=-0.5(x-7.1)

Distribute $-0.5$ : First, we need to distribute the $-0.5$ across the parentheses on the right side of the equation. $\newline$ $-4.5 = -0.5 \times x + (-0.5) \times (-7.1)$
Perform multiplication: Now, let's perform the multiplication. $-4.5 = -0.5x + 3.55$
Isolate variable x: Next, we want to isolate the variable x on one side of the equation. To do this, we'll add $0.5x$ to both sides. $\newline$ $-4.5 + 0.5x = -0.5x + 0.5x + 3.55$
Combine like terms: Simplify the equation by combining like terms. $0.5x - 4.5 = 3.55$
Add $4$ . $5$ to both sides: Now, we'll add $4.5$ to both sides to isolate the term with $x$ . $\newline$ $0.5x - 4.5 + 4.5 = 3.55 + 4.5$
Find value of $0.5x$ : Perform the addition to find the value of $0.5x$ . $0.5x = 8.05$
Divide by $0$ . $5$ : Finally, we'll divide both sides by $0.5$ to solve for $x$ . $\newline$ $x = \frac{8.05}{0.5}$
Calculate $x$ : Calculate the division to find the value of $x$ . $x = 16.1$