Solve 10x+3/12=15-8x/9

$$\frac { 10 x + 3 } { 12 } = \frac { 15 - 8 x } { 9 }$$

Solve for x

$$x=\frac{51}{62}\approx 0.822580645$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 36, the least common multiple of 12,9.

$$3\left(10x+3\right)=4\left(15-8x\right)$$

Use the distributive property to multiply 3 by 10x+3.

$$30x+9=4\left(15-8x\right)$$

Use the distributive property to multiply 4 by 15-8x.

$$30x+9=60-32x$$

Add 32x to both sides.

$$30x+9+32x=60$$

Combine 30x and 32x to get 62x.

$$62x+9=60$$

Subtract 9 from both sides.

$$62x=60-9$$

Subtract 9 from 60 to get 51.

$$62x=51$$

Divide both sides by 62.

$$x=\frac{51}{62}$$