Distribute terms: Distribute the 50 to both terms inside the parentheses. 50 * 19 - 50 * x = 950 - 50x Now, rewrite the equation with the distributed terms. 10x + 950 - 50x = 350Combine like terms: Combine like terms on the left side of the equation. 10x - 50x = -40x Now, rewrite the equation with the combined terms. -40x + 950 = 350Isolate variable term: Isolate the variable term by subtracting 950 from both sides of the equation. -40x + 950 - 950 = 350 - 950 -40x = -600Solve for x: Solve for x by dividing both sides of the equation by -40. -40x / -40 = -600 / -40 x = 15

Grade 8

Solve equations with the distributive property

Full solution

10x+50(19-x)=350

Distribute terms: Distribute the $50$ to both terms inside the parentheses. $\newline$ $50 \times 19 - 50 \times x = 950 - 50x$ $\newline$ Now, rewrite the equation with the distributed terms. $\newline$ $10x + 950 - 50x = 350$
Combine like terms: Combine like terms on the left side of the equation. $\newline$ $10x - 50x = -40x$ $\newline$ Now, rewrite the equation with the combined terms. $\newline$ $-40x + 950 = 350$
Isolate variable term: Isolate the variable term by subtracting $950$ from both sides of the equation. $\newline$ $-40x + 950 - 950 = 350 - 950$ $\newline$ $-40x = -600$
Solve for x: Solve for x by dividing both sides of the equation by -40＂).$\newline\$-40x / -40 = -600 / -40$$\newline$$x = 15$