Solve the inequality 5x-3(x+2)%7-3x

5x-3\left(x+2\right)\geq 7-3x

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Answer

$x\geq \frac{13}{5}$

Step by step solution

Problem

$5x-3\left(x+2\right)\geq 7-3x$
1

Multiply $\left(x+2\right)$ by $-3$

$5x-6-3x\geq 7-3x$
2

Adding $-3x$ and $5x$

$2x-6\geq 7-3x$
3

Grouping terms

$3x-6+2x\geq 7$
4

Adding $2x$ and $3x$

$5x-6\geq 7$
5

Moving the term $-6$ to the other side of the inequation with opposite sign

$5x\geq 6+7$
6

Add the values $7$ and $6$

$5x\geq 13$
7

Divide both sides of the inequation by $5$

$x\geq \frac{13}{5}$

Answer

$x\geq \frac{13}{5}$

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Problem Analysis

Main topic:

Polynomials

Time to solve it:

0.22 seconds

Views:

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