Pre-Algebra Examples

$4 (5 + x) = (4 x - 1) - 87$

Step 1

Simplify $4 (5 + x)$ .

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Step 1.1

Rewrite.

$0 + 0 + 4 (5 + x) = 4 x - 1 - 87$

Step 1.2

Simplify by adding zeros.

$4 (5 + x) = 4 x - 1 - 87$

Step 1.3

Apply the distributive property.

$4 \cdot 5 + 4 x = 4 x - 1 - 87$

Step 1.4

Multiply $4$ by $5$ .

$20 + 4 x = 4 x - 1 - 87$

Step 2

Subtract $87$ from $- 1$ .

$20 + 4 x = 4 x - 88$

Step 3

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

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Step 3.1

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

$20 + 4 x - 4 x = - 88$

Step 3.2

Combine the opposite terms in $20 + 4 x - 4 x$ .

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Step 3.2.1

Subtract $4 x$ from $4 x$ .

$20 + 0 = - 88$

Step 3.2.2

Add $20$ and $0$ .

$20 = - 88$

Step 4

Since $20 \neq - 88$ , there are no solutions.

No solution