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3 What value of
x makes the equation
(x-6)-8x=-2+5(2+1)

$3$ What value of $x$ makes the equation $(x-6)-8 x=-2+5(2+1)$

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Solve quadratic inequalities

Full solution

Q.

3

What value of

x

makes the equation

(x-6)-8 x=-2+5(2+1)

Combine like terms: Combine like terms on the left side of the equation. $\newline$ $(x - 6) - 8x = x - 8x - 6$ $\newline$ Simplify to get $-7x - 6$ .
Simplify left side: Simplify the right side of the equation. $\newline$ $-2 + 5(2 + 1) = -2 + 5 \times 3$ $\newline$ Calculate to get $-2 + 15$ .
Simplify right side: Finish simplifying the right side. $\newline$ $-2 + 15 = 13$
Finish simplifying: Set the simplified left side equal to the simplified right side. $\newline$ $-7x - 6 = 13$
Set equal: Add $6$ to both sides to isolate the term with $x$ . $\newline$ $-7x - 6 + 6 = 13 + 6$ $\newline$ Simplify to get $-7x = 19$
Add to isolate: Divide both sides by $-7$ to solve for $x$ . $\newline$ $-7x / -7 = 19 / -7$ $\newline$ Calculate to get $x = -19/7$

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