Pre-Algebra Examples

$6 (x - 1) = 6 x - 1$

Step 1

Simplify $6 (x - 1)$ .

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Step 1.1

Rewrite.

$0 + 0 + 6 (x - 1) = 6 x - 1$

Step 1.2

Simplify by adding zeros.

$6 (x - 1) = 6 x - 1$

Step 1.3

Apply the distributive property.

$6 x + 6 \cdot - 1 = 6 x - 1$

Step 1.4

Multiply $6$ by $- 1$ .

$6 x - 6 = 6 x - 1$

Step 2

Move all terms containing $x$ to the left side of the equation.

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Step 2.1

Subtract $6 x$ from both sides of the equation.

$6 x - 6 - 6 x = - 1$

Step 2.2

Combine the opposite terms in $6 x - 6 - 6 x$ .

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Step 2.2.1

Subtract $6 x$ from $6 x$ .

$0 - 6 = - 1$

Step 2.2.2

Subtract $6$ from $0$ .

$- 6 = - 1$

Step 3

Since $- 6 \neq - 1$ , there are no solutions.

No solution