Solve -3x+1 < 3[(x+2)-2x]-1 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$-3x+1 < 3[(x+2)-2x]-1$$

Solve for x

$x\in \mathrm{R}$

Solution Steps

Combine $x$ and $-2x$ to get $-x$.

$$-3x+1<3\left(-x+2\right)-1$$

Use the distributive property to multiply $3$ by $-x+2$.

$$-3x+1<-3x+6-1$$

Subtract $1$ from $6$ to get $5$.

$$-3x+1<-3x+5$$

Add $3x$ to both sides.

$$-3x+1+3x<5$$

Combine $-3x$ and $3x$ to get $0$.

$$1<5$$

This is true for any $x$.

$$x\in \mathrm{R}$$