Algebra Examples

$6 - 2 x - 1 = 4 x + 8 - 6 x - 3$

Step 1

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

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Step 1.1

Subtract $4 x$ from both sides of the equation.

$6 - 2 x - 1 - 4 x = 8 - 6 x - 3$

Step 1.2

Subtract $8$ from both sides of the equation.

$6 - 2 x - 1 - 4 x - 8 = - 6 x - 3$

Step 1.3

Add $6 x$ to both sides of the equation.

$6 - 2 x - 1 - 4 x - 8 + 6 x = - 3$

Step 1.4

Add $3$ to both sides of the equation.

$6 - 2 x - 1 - 4 x - 8 + 6 x + 3 = 0$

Step 2

Simplify $6 - 2 x - 1 - 4 x - 8 + 6 x + 3$ .

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Step 2.1

Subtract $1$ from $6$ .

$- 2 x + 5 - 4 x - 8 + 6 x + 3 = 0$

Step 2.2

Subtract $4 x$ from $- 2 x$ .

$- 6 x + 5 - 8 + 6 x + 3 = 0$

Step 2.3

Combine the opposite terms in $- 6 x + 5 - 8 + 6 x + 3$ .

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Step 2.3.1

Add $- 6 x$ and $6 x$ .

$0 + 5 - 8 + 3 = 0$

Step 2.3.2

Add $0$ and $5$ .

$5 - 8 + 3 = 0$

Step 2.4

Subtract $8$ from $5$ .

$- 3 + 3 = 0$

Step 2.5

Add $- 3$ and $3$ .

$0 = 0$

Step 3

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

Always true