Solve 3(x-1)=3x-4(8x+1)

$$3 ( x - 1 ) = 3 x - 4 ( 8 x + 1 )$$

Solve for x

$$x=-\frac{1}{32}=-0.03125$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply -4 by 8x+1.

$$3x-3=3x-32x-4$$

Combine 3x and -32x to get -29x.

$$3x-3=-29x-4$$

Add 29x to both sides.

$$3x-3+29x=-4$$

Combine 3x and 29x to get 32x.

$$32x-3=-4$$

Add 3 to both sides.

$$32x=-4+3$$

Add -4 and 3 to get -1.

$$32x=-1$$

Divide both sides by 32.

$$x=\frac{-1}{32}$$

Fraction \frac{-1}{32} can be rewritten as -\frac{1}{32} by extracting the negative sign.

$$x=-\frac{1}{32}$$