Algebra Examples

$x - 4 - 3 x = - 2 x - 3 - 1$

Step 1

Move all the expressions to the left side of the equation.

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Step 1.1

Add $2 x$ to both sides of the equation.

$x - 4 - 3 x + 2 x = - 3 - 1$

Step 1.2

Add $3$ to both sides of the equation.

$x - 4 - 3 x + 2 x + 3 = - 1$

Step 1.3

Add $1$ to both sides of the equation.

$x - 4 - 3 x + 2 x + 3 + 1 = 0$

Step 2

Simplify $x - 4 - 3 x + 2 x + 3 + 1$ .

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Step 2.1

Subtract $3 x$ from $x$ .

$- 2 x - 4 + 2 x + 3 + 1 = 0$

Step 2.2

Combine the opposite terms in $- 2 x - 4 + 2 x + 3 + 1$ .

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Step 2.2.1

Add $- 2 x$ and $2 x$ .

$0 - 4 + 3 + 1 = 0$

Step 2.2.2

Subtract $4$ from $0$ .

$- 4 + 3 + 1 = 0$

Step 2.3

Add $- 4$ and $3$ .

$- 1 + 1 = 0$

Step 2.4

Add $- 1$ and $1$ .

$0 = 0$

Step 3

Since $0 = 0$ , the equation will always be true.

Always true