Solve 5(12x+4)-15-12x=19-2(3-8x)

$$5 ( 12 x + 4 ) - 15 - 12 x = 19 - 2 ( 3 - 8 x )$$

Solve for x

$$x=\frac{1}{4}=0.25$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by 12x+4.

$$60x+20-15-12x=19-2\left(3-8x\right)$$

Subtract 15 from 20 to get 5.

$$60x+5-12x=19-2\left(3-8x\right)$$

Combine 60x and -12x to get 48x.

$$48x+5=19-2\left(3-8x\right)$$

Use the distributive property to multiply -2 by 3-8x.

$$48x+5=19-6+16x$$

Subtract 6 from 19 to get 13.

$$48x+5=13+16x$$

Subtract 16x from both sides.

$$48x+5-16x=13$$

Combine 48x and -16x to get 32x.

$$32x+5=13$$

Subtract 5 from both sides.

$$32x=13-5$$

Subtract 5 from 13 to get 8.

$$32x=8$$

Divide both sides by 32.

$$x=\frac{8}{32}$$

Reduce the fraction \frac{8}{32} to lowest terms by extracting and canceling out 8.

$$x=\frac{1}{4}$$