Pre-Algebra Examples

$4 (- 8 x + 5) = - 32 x - 26$

Step 1

Simplify $4 (- 8 x + 5)$ .

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Step 1.1

Rewrite.

$0 + 0 + 4 (- 8 x + 5) = - 32 x - 26$

Step 1.2

Simplify by adding zeros.

$4 (- 8 x + 5) = - 32 x - 26$

Step 1.3

Apply the distributive property.

$4 (- 8 x) + 4 \cdot 5 = - 32 x - 26$

Step 1.4

Multiply.

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Step 1.4.1

Multiply $- 8$ by $4$ .

$- 32 x + 4 \cdot 5 = - 32 x - 26$

Step 1.4.2

Multiply $4$ by $5$ .

$- 32 x + 20 = - 32 x - 26$

Step 2

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

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Step 2.1

Add $32 x$ to both sides of the equation.

$- 32 x + 20 + 32 x = - 26$

Step 2.2

Combine the opposite terms in $- 32 x + 20 + 32 x$ .

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Step 2.2.1

Add $- 32 x$ and $32 x$ .

$0 + 20 = - 26$

Step 2.2.2

Add $0$ and $20$ .

$20 = - 26$

Step 3

Since $20 \neq - 26$ , there are no solutions.

No solution