Solve (x-4.5)*9.8-0.15*10*9.8=(10+4.5+x)*2.2

$$(x-4.5) \times 9.8-0.15 \times 10 \times 9.8=(10+4.5+x) \times 2.2$$

Solve for x

$$x = \frac{907}{76} = 11\frac{71}{76} \approx 11.934210526$$

Steps for Solving Linear Equation

Use the distributive property to multiply x-4.5 by 9.8.

$$9.8x-44.1-0.15\times 10\times 9.8=\left(10+4.5+x\right)\times 2.2$$

Multiply 0.15 and 10 to get 1.5.

$$9.8x-44.1-1.5\times 9.8=\left(10+4.5+x\right)\times 2.2$$

Multiply 1.5 and 9.8 to get 14.7.

$$9.8x-44.1-14.7=\left(10+4.5+x\right)\times 2.2$$

Subtract 14.7 from -44.1 to get -58.8.

$$9.8x-58.8=\left(10+4.5+x\right)\times 2.2$$

Add 10 and 4.5 to get 14.5.

$$9.8x-58.8=\left(14.5+x\right)\times 2.2$$

Use the distributive property to multiply 14.5+x by 2.2.

$$9.8x-58.8=31.9+2.2x$$

Subtract 2.2x from both sides.

$$9.8x-58.8-2.2x=31.9$$

Combine 9.8x and -2.2x to get 7.6x.

$$7.6x-58.8=31.9$$

Add 58.8 to both sides.

$$7.6x=31.9+58.8$$

Add 31.9 and 58.8 to get 90.7.

$$7.6x=90.7$$

Divide both sides by 7.6.

$$x=\frac{90.7}{7.6}$$

Expand \frac{90.7}{7.6} by multiplying both numerator and the denominator by 10.

$$x=\frac{907}{76}$$