Distribute 4: Distribute 4 into the parentheses on the left side of the inequality. 4(x+1)-2 < 8x-26 4*x + 4*1 - 2 < 8x - 26 4x + 4 - 2 < 8x - 26Combine like terms: Combine like terms on the left side of the inequality. 4x + 4 - 2 < 8x - 26 4x + 2 7

Algebra 1

Solve advanced linear inequalities

Full solution

4(x+1)-2<8 x-26

Distribute $4$ : Distribute $4$ into the parentheses on the left side of the inequality. $\newline$ 4(x+1)-2 < 8x-26 $\newline$ 4\times x + 4\times 1 - 2 < 8x - 26 $\newline$ 4x + 4 - 2 < 8x - 26
Combine like terms: Combine like terms on the left side of the inequality. $\newline$ 4x + 4 - 2 < 8x - 26 $\newline$ 4x + 2 < 8x - 26
Subtract $4x$ : Subtract $4x$ from both sides of the inequality to get all $x$ terms on one side. $\newline$ 4x + 2 - 4x < 8x - 26 - 4x $\newline$ 2 < 4x - 26
Add $26$ : Add $26$ to both sides of the inequality to isolate the $x$ term. $\newline$ 2 + 26 < 4x - 26 + 26 $\newline$ 28 < 4x
Divide by $4$ : Divide both sides of the inequality by $4$ to solve for $x$ .\frac{28}{4} < \frac{4x}{4}7 < x
Rewrite inequality: Rewrite the inequality with $x$ on the left side. $\newline$ x > 7