Solve 1-4(2x-1)=3(x+2)+19

$$1 - 4 ( 2 x - 1 ) = 3 ( x + 2 ) + 19$$

Solve for x

$$x = -\frac{20}{11} = -1\frac{9}{11} \approx -1.818181818$$

Steps for Solving Linear Equation

Use the distributive property to multiply -4 by 2x-1.

$$1-8x+4=3\left(x+2\right)+19$$

Add 1 and 4 to get 5.

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

Use the distributive property to multiply 3 by x+2.

$$5-8x=3x+6+19$$

Add 6 and 19 to get 25.

$$5-8x=3x+25$$

Subtract 3x from both sides.

$$5-8x-3x=25$$

Combine -8x and -3x to get -11x.

$$5-11x=25$$

Subtract 5 from both sides.

$$-11x=25-5$$

Subtract 5 from 25 to get 20.

$$-11x=20$$

Divide both sides by -11.

$$x=\frac{20}{-11}$$

Fraction \frac{20}{-11} can be rewritten as -\frac{20}{11} by extracting the negative sign.

$$x=-\frac{20}{11}$$