Solve ((15*10-5*12)*2+12*x+5*x+7*x+15*x+10*x)*0.4=103.2

$$((15 \times 10-5 \times 12) \times 2+12 \times x+5 \times x+7 \times x+15 \times x+10 \times x) \times 0.4=103.2$$

Solve for x

$$x = \frac{78}{49} = 1\frac{29}{49} \approx 1.591836735$$

Steps for Solving Linear Equation

Divide both sides by 0.4.

$$\left(15\times 10-5\times 12\right)\times 2+12x+5x+7x+15x+10x=\frac{103.2}{0.4}$$

Expand \frac{103.2}{0.4} by multiplying both numerator and the denominator by 10.

$$\left(15\times 10-5\times 12\right)\times 2+12x+5x+7x+15x+10x=\frac{1032}{4}$$

Divide 1032 by 4 to get 258.

$$\left(15\times 10-5\times 12\right)\times 2+12x+5x+7x+15x+10x=258$$

Multiply 15 and 10 to get 150.

$$\left(150-5\times 12\right)\times 2+12x+5x+7x+15x+10x=258$$

Multiply 5 and 12 to get 60.

$$\left(150-60\right)\times 2+12x+5x+7x+15x+10x=258$$

Subtract 60 from 150 to get 90.

$$90\times 2+12x+5x+7x+15x+10x=258$$

Multiply 90 and 2 to get 180.

$$180+12x+5x+7x+15x+10x=258$$

Combine 12x and 5x to get 17x.

$$180+17x+7x+15x+10x=258$$

Combine 17x and 7x to get 24x.

$$180+24x+15x+10x=258$$

Combine 24x and 15x to get 39x.

$$180+39x+10x=258$$

Combine 39x and 10x to get 49x.

$$180+49x=258$$

Subtract 180 from both sides.

$$49x=258-180$$

Subtract 180 from 258 to get 78.

$$49x=78$$

Divide both sides by 49.

$$x=\frac{78}{49}$$