Solve 3(x-1)+2(x+1)=4(x-2)+5 | 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

$$3(x-1)+2(x+1)=4(x-2)+5$$

Solve for x

$x=-2$

Steps for Solving Linear Equation

Use the distributive property to multiply $3$ by $x-1$.

$$3x-3+2\left(x+1\right)=4\left(x-2\right)+5$$

Use the distributive property to multiply $2$ by $x+1$.

$$3x-3+2x+2=4\left(x-2\right)+5$$

Combine $3x$ and $2x$ to get $5x$.

$$5x-3+2=4\left(x-2\right)+5$$

Add $-3$ and $2$ to get $-1$.

$$5x-1=4\left(x-2\right)+5$$

Use the distributive property to multiply $4$ by $x-2$.

$$5x-1=4x-8+5$$

Add $-8$ and $5$ to get $-3$.

$$5x-1=4x-3$$

Subtract $4x$ from both sides.

$$5x-1-4x=-3$$

Combine $5x$ and $-4x$ to get $x$.

$$x-1=-3$$

Add $1$ to both sides.

$$x=-3+1$$

Add $-3$ and $1$ to get $-2$.

$$x=-2$$