Solve 10left(x+4right)-6left(x+1right)=15left(4-xright)

$$10 \left( x+4 \right) -6 \left( x+1 \right) = 15 \left( 4-x \right)$$

Solve for x

$$x = \frac{26}{19} = 1\frac{7}{19} \approx 1.368421053$$

Steps for Solving Linear Equation

Use the distributive property to multiply 10 by x+4.

$$10x+40-6\left(x+1\right)=15\left(4-x\right)$$

Use the distributive property to multiply -6 by x+1.

$$10x+40-6x-6=15\left(4-x\right)$$

Combine 10x and -6x to get 4x.

$$4x+40-6=15\left(4-x\right)$$

Subtract 6 from 40 to get 34.

$$4x+34=15\left(4-x\right)$$

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

$$4x+34=60-15x$$

Add 15x to both sides.

$$4x+34+15x=60$$

Combine 4x and 15x to get 19x.

$$19x+34=60$$

Subtract 34 from both sides.

$$19x=60-34$$

Subtract 34 from 60 to get 26.

$$19x=26$$

Divide both sides by 19.

$$x=\frac{26}{19}$$