Solve 2x+3/4+3x+4/9=2*+10

$$\frac{ 2x+3 }{ 4 } + \frac{ 3x+4 }{ 9 } =2 \times +10$$

Solve for x

$$x = \frac{677}{30} = 22\frac{17}{30} \approx 22.566666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 36, the least common multiple of 4,9.

$$9\left(2x+3\right)+4\left(3x+4\right)=72\times 10$$

Use the distributive property to multiply 9 by 2x+3.

$$18x+27+4\left(3x+4\right)=72\times 10$$

Use the distributive property to multiply 4 by 3x+4.

$$18x+27+12x+16=72\times 10$$

Combine 18x and 12x to get 30x.

$$30x+27+16=72\times 10$$

Add 27 and 16 to get 43.

$$30x+43=72\times 10$$

Multiply 72 and 10 to get 720.

$$30x+43=720$$

Subtract 43 from both sides.

$$30x=720-43$$

Subtract 43 from 720 to get 677.

$$30x=677$$

Divide both sides by 30.

$$x=\frac{677}{30}$$