Solve (4x-7)-7*(1+4x)=19-5*(8x-1)

$$( 4 x - 7 ) - 7 \cdot ( 1 + 4 x ) = 19 - 5 \cdot ( 8 x - 1 )$$

Solve for x

$$x = \frac{19}{8} = 2\frac{3}{8} = 2.375$$

Steps for Solving Linear Equation

Use the distributive property to multiply -7 by 1+4x.

$$4x-7-7-28x=19-5\left(8x-1\right)$$

Subtract 7 from -7 to get -14.

$$4x-14-28x=19-5\left(8x-1\right)$$

Combine 4x and -28x to get -24x.

$$-24x-14=19-5\left(8x-1\right)$$

Use the distributive property to multiply -5 by 8x-1.

$$-24x-14=19-40x+5$$

Add 19 and 5 to get 24.

$$-24x-14=24-40x$$

Add 40x to both sides.

$$-24x-14+40x=24$$

Combine -24x and 40x to get 16x.

$$16x-14=24$$

Add 14 to both sides.

$$16x=24+14$$

Add 24 and 14 to get 38.

$$16x=38$$

Divide both sides by 16.

$$x=\frac{38}{16}$$

Reduce the fraction \frac{38}{16} to lowest terms by extracting and canceling out 2.

$$x=\frac{19}{8}$$