Pre-Algebra Examples

$4 (5 x - 6) - 5 = 18 (x - 4) + 59$

Step 1

Simplify $4 (5 x - 6) - 5$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$4 (5 x) + 4 \cdot - 6 - 5 = 18 (x - 4) + 59$

Step 1.1.2

Multiply $5$ by $4$ .

$20 x + 4 \cdot - 6 - 5 = 18 (x - 4) + 59$

Step 1.1.3

Multiply $4$ by $- 6$ .

$20 x - 24 - 5 = 18 (x - 4) + 59$

Step 1.2

Subtract $5$ from $- 24$ .

$20 x - 29 = 18 (x - 4) + 59$

Step 2

Simplify $18 (x - 4) + 59$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$20 x - 29 = 18 x + 18 \cdot - 4 + 59$

Step 2.1.2

Multiply $18$ by $- 4$ .

$20 x - 29 = 18 x - 72 + 59$

Step 2.2

Add $- 72$ and $59$ .

$20 x - 29 = 18 x - 13$

Step 3

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x = 8$

Step 4