Solve 6*0.81+x*0.86=0.84(6+x)

$$6 \times 0.81 + x \cdot 0.86 = 0.84 ( 6 + x )$$

Solve for x

$$x=9$$

Steps for Solving Linear Equation

Multiply 6 and 0.81 to get 4.86.

$$4.86+x\times 0.86=0.84\left(6+x\right)$$

Use the distributive property to multiply 0.84 by 6+x.

$$4.86+x\times 0.86=5.04+0.84x$$

Subtract 0.84x from both sides.

$$4.86+x\times 0.86-0.84x=5.04$$

Combine x\times 0.86 and -0.84x to get 0.02x.

$$4.86+0.02x=5.04$$

Subtract 4.86 from both sides.

$$0.02x=5.04-4.86$$

Subtract 4.86 from 5.04 to get 0.18.

$$0.02x=0.18$$

Divide both sides by 0.02.

$$x=\frac{0.18}{0.02}$$

Expand \frac{0.18}{0.02} by multiplying both numerator and the denominator by 100.

$$x=\frac{18}{2}$$

Divide 18 by 2 to get 9.

$$x=9$$