Solve 12x+(0.5)(10x)+(0.25)7x=75

$$12 x + ( 0.5 ) ( 10 x ) + ( 0.25 ) 7 x = 75$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Multiply 0.5 and 10 to get 5.

$$12x+5x+0.25\times 7x=75$$

Combine 12x and 5x to get 17x.

$$17x+0.25\times 7x=75$$

Multiply 0.25 and 7 to get 1.75.

$$17x+1.75x=75$$

Combine 17x and 1.75x to get 18.75x.

$$18.75x=75$$

Divide both sides by 18.75.

$$x=\frac{75}{18.75}$$

Expand \frac{75}{18.75} by multiplying both numerator and the denominator by 100.

$$x=\frac{7500}{1875}$$

Divide 7500 by 1875 to get 4.

$$x=4$$