Step-by-step Solution

Solve the inequality $2\left(x-1\right)+3\left(x+4\right)>x+6$

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Step-by-step explanation

Problem to solve:

$2\left(x-1\right)+3\left(x+4\right)>x+6$

Learn how to solve inequalities problems step by step online.

$2\left(x-1\right)+3\left(x+4\right)-x>6$

Unlock this full step-by-step solution!

Learn how to solve inequalities problems step by step online. Solve the inequality 2(x-1)+3(x+4)>x+6. Grouping terms. Solve the product 2\left(x-1\right). Solve the product 3\left(x+4\right). Adding 2x and 3x.

Final Answer

$x>-1$

Problem Analysis

$2\left(x-1\right)+3\left(x+4\right)>x+6$

Main topic:

Inequalities

Time to solve it:

~ 0.05 seconds