Identify Structure: Identify the structure of the equation and start simplifying. The equation is in the form of a simple linear equation with a distributive property to be simplified first. 2(x - 16) + 1 = 41Distribute 2: Distribute the 2 into the parentheses. 2 * x - 2 * 16 + 1 = 41 2x - 32 + 1 = 41Combine Like Terms: Combine like terms on the left side of the equation. 2x - 31 = 41Isolate Variable Term: Isolate the variable term by adding 31 to both sides of the equation. 2x - 31 + 31 = 41 + 31 2x = 72Divide to Solve: Divide both sides of the equation by 2 to solve for x. 2x / 2 = 72 / 2 x = 36

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$2(x-16)+1=41$

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Math Problems

Grade 8

Describe the graph of a linear equation

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2(x-16)+1=41

Identify Structure: Identify the structure of the equation and start simplifying. $\newline$ The equation is in the form of a simple linear equation with a distributive property to be simplified first. $\newline$ $2(x - 16) + 1 = 41$
Distribute $2$ : Distribute the $2$ into the parentheses. $2 \times x - 2 \times 16 + 1 = 41$ $2x - 32 + 1 = 41$
Combine Like Terms: Combine like terms on the left side of the equation. $2x - 31 = 41$
Isolate Variable Term: Isolate the variable term by adding $31$ to both sides of the equation. $\newline$ $2x - 31 + 31 = 41 + 31$ $\newline$ $2x = 72$
Divide to Solve: Divide both sides of the equation by $2$ to solve for x. $\newline$ $\frac{2x}{2} = \frac{72}{2}$ $\newline$ $x = 36$