Solve Développer et simplifier A = - 2 + 3(- 2x + 1) - (- x + 3) | 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

$$\left. \begin{array} { l } { \quad A = - 2 + 3 ( - 2 x + 1 ) - ( - x + 3 ) } \end{array} \right.$$

Solve for x

$x=\frac{-A-2}{5}$

Steps for Solving Linear Equation

Use the distributive property to multiply $3$ by $-2x+1$.

$$A=-2-6x+3-\left(-x+3\right)$$

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

$$A=1-6x-\left(-x+3\right)$$

To find the opposite of $-x+3$, find the opposite of each term.

$$A=1-6x-\left(-x\right)-3$$

Subtract $3$ from $1$ to get $-2$.

$$A=-2-6x-\left(-x\right)$$

Swap sides so that all variable terms are on the left hand side.

$$-2-6x-\left(-x\right)=A$$

Add $2$ to both sides.

$$-6x-\left(-x\right)=A+2$$

Multiply $-1$ and $-1$ to get $1$.

$$-6x+x=A+2$$

Combine $-6x$ and $x$ to get $-5x$.

$$-5x=A+2$$

Divide both sides by $-5$.

$$\frac{-5x}{-5}=\frac{A+2}{-5}$$

Dividing by $-5$ undoes the multiplication by $-5$.

$$x=\frac{A+2}{-5}$$

Divide $A+2$ by $-5$.

$$x=\frac{-A-2}{5}$$