{ 3(2x 5) 7 }≥ 9(x 5) { 6x 15 7 }≥ (9x 45) { 22 }≥ (3x 45) { 45 22 }≥ 3x 3x≤ 23 x≤23/3 x≤ 7.666 ...

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Addition and Subtraction of Algebraic Expression

Solve 32x-5...

Question

Solve ${3 (2 x - 5) - 7} \geq 9 (x - 5)$ .

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Solution

${3 (2 x - 5) - 7} \geq 9 (x - 5)$
${6 x - 15 - 7} \geq (9 x - 45)$
${- 22} \geq (3 x - 45)$
${45 - 22} \geq 3 x$
$3 x \leq 23$
$x \leq \frac{23}{3}$
$x \leq 7.666$

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