Basic Math Examples

$6 z + 8 = 6 (z + 4) - 23$

Step 1

Simplify $6 (z + 4) - 23$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$6 z + 8 = 6 z + 6 \cdot 4 - 23$

Step 1.1.2

Multiply $6$ by $4$ .

$6 z + 8 = 6 z + 24 - 23$

Step 1.2

Subtract $23$ from $24$ .

$6 z + 8 = 6 z + 1$

Step 2

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

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Step 2.1

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

$6 z + 8 - 6 z = 1$

Step 2.2

Combine the opposite terms in $6 z + 8 - 6 z$ .

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Step 2.2.1

Subtract $6 z$ from $6 z$ .

$0 + 8 = 1$

Step 2.2.2

Add $0$ and $8$ .

$8 = 1$

Step 3

Since $8 \neq 1$ , there are no solutions.

No solution