Solve 12.5(3x-1)+132.4=(2.8-4x)*0.5

$$12.5 ( 3 x - 1 ) + 132.4 = ( 2.8 - 4 x ) \cdot 0.5$$

Solve for x

$$x=-3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 12.5 by 3x-1.

$$37.5x-12.5+132.4=\left(2.8-4x\right)\times 0.5$$

Add -12.5 and 132.4 to get 119.9.

$$37.5x+119.9=\left(2.8-4x\right)\times 0.5$$

Use the distributive property to multiply 2.8-4x by 0.5.

$$37.5x+119.9=1.4-2x$$

Add 2x to both sides.

$$37.5x+119.9+2x=1.4$$

Combine 37.5x and 2x to get 39.5x.

$$39.5x+119.9=1.4$$

Subtract 119.9 from both sides.

$$39.5x=1.4-119.9$$

Subtract 119.9 from 1.4 to get -118.5.

$$39.5x=-118.5$$

Divide both sides by 39.5.

$$x=\frac{-118.5}{39.5}$$

Expand \frac{-118.5}{39.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{-1185}{395}$$

Divide -1185 by 395 to get -3.

$$x=-3$$