Question

solve for x. 9x + 7 = 1 - 8x 17x + 7 = 1 choose an action to perform. combine like terms, distribute, rewrite division as multiplication, rewrite signs, convert fraction to decimal, perform multiplication, rewrite fractions, add to both sides, subtract from both sides, multiply both sides, divide both sides

Explanation:

Step1: Subtract 7 from both sides

$17x + 7 - 7 = 1 - 7$

Step2: Simplify both sides

$17x = -6$

Step3: Divide both sides by 17

$\frac{17x}{17} = \frac{-6}{17}$

Step4: Simplify to solve for x

$x = \frac{-6}{17}$

Step1: Add 8x to both sides

$9x + 8x + 7 = 1 - 8x + 8x$

Step2: Combine like terms

$17x + 7 = 1$

Step3: Subtract 7 from both sides

$17x + 7 - 7 = 1 - 7$

Step4: Simplify both sides

$17x = -6$

Step5: Divide both sides by 17

$\frac{17x}{17} = \frac{-6}{17}$

Step6: Simplify to solve for x

$x = \frac{-6}{17}$

Answer:

$x = -\frac{6}{17}$

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For the secondary equation $9x + 7 = 1 - 8x$ (included in the image):