Basic Math Examples

$4 (t - 5) + 8 t = 6 (2 t + 5 (- 11))$

Step 1

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

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$4 t + 4 \cdot - 5 + 8 t = 6 (2 t + 5 (- 11))$

Step 1.1.2

Multiply $4$ by $- 5$ .

$4 t - 20 + 8 t = 6 (2 t + 5 (- 11))$

Step 1.2

Add $4 t$ and $8 t$ .

$12 t - 20 = 6 (2 t + 5 (- 11))$

Step 2

Simplify $6 (2 t + 5 (- 11))$ .

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Step 2.1

Multiply $5$ by $- 11$ .

$12 t - 20 = 6 (2 t - 55)$

Step 2.2

Apply the distributive property.

$12 t - 20 = 6 (2 t) + 6 \cdot - 55$

Step 2.3

Multiply.

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Step 2.3.1

Multiply $2$ by $6$ .

$12 t - 20 = 12 t + 6 \cdot - 55$

Step 2.3.2

Multiply $6$ by $- 55$ .

$12 t - 20 = 12 t - 330$

Step 3

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

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Step 3.1

Subtract $12 t$ from both sides of the equation.

$12 t - 20 - 12 t = - 330$

Step 3.2

Combine the opposite terms in $12 t - 20 - 12 t$ .

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Step 3.2.1

Subtract $12 t$ from $12 t$ .

$0 - 20 = - 330$

Step 3.2.2

Subtract $20$ from $0$ .

$- 20 = - 330$

Step 4

Since $- 20 \neq - 330$ , there are no solutions.

No solution