Solve the inequality 7-2x+3x>-3+2x+4x

3x+7-2x>4x-3+2x

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Answer

$x<2$

Step by step solution

Problem

$3x+7-2x>4x-3+2x$
1

Adding $3x$ and $-2x$

$7+x>\left(2+4\right)x-3$
2

Add the values $4$ and $2$

$7+x>6x-3$
3

Grouping terms

$-6x+7+x>-3$
4

Adding $-6x$ and $x$

$7-5x>-3$
5

Moving the term $7$ to the other side of the inequation with opposite sign

$-5x>-3-7$
6

Subtract the values $-3$ and $-7$

$-5x>-10$
7

Multiply both sides of the inequality by $-1$, reversing the sign

$5x<10$
8

Divide both sides of the inequation by $5$

$x<2$

Answer

$x<2$

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Problem Analysis

Main topic:

Inequalities

Time to solve it:

0.23 seconds

Views:

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