Solve 2*3+24k/225-2*3+8k/29=1230

$$\frac{ 2 \cdot 3+24k }{ 2 } 25- \frac{ 2 \cdot 3+8k }{ 2 } 9 = 1230$$

Solve for k

$$k = \frac{197}{44} = 4\frac{21}{44} \approx 4.477272727$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$\left(2\times 3+24k\right)\times 25-\left(2\times 3+8k\right)\times 9=2460$$

Multiply 2 and 3 to get 6.

$$\left(6+24k\right)\times 25-\left(2\times 3+8k\right)\times 9=2460$$

Use the distributive property to multiply 6+24k by 25.

$$150+600k-\left(2\times 3+8k\right)\times 9=2460$$

Multiply 2 and 3 to get 6.

$$150+600k-\left(6+8k\right)\times 9=2460$$

Use the distributive property to multiply 6+8k by 9.

$$150+600k-\left(54+72k\right)=2460$$

To find the opposite of 54+72k, find the opposite of each term.

$$150+600k-54-72k=2460$$

Subtract 54 from 150 to get 96.

$$96+600k-72k=2460$$

Combine 600k and -72k to get 528k.

$$96+528k=2460$$

Subtract 96 from both sides.

$$528k=2460-96$$

Subtract 96 from 2460 to get 2364.

$$528k=2364$$

Divide both sides by 528.

$$k=\frac{2364}{528}$$

Reduce the fraction \frac{2364}{528} to lowest terms by extracting and canceling out 12.

$$k=\frac{197}{44}$$