Solve -4+3(-5x+1)=-4(-5x-4)+3

$$- 4 + 3 ( - 5 x + 1 ) = - 4 ( - 5 x - 4 ) + 3$$

Solve for x

$$x=-\frac{4}{7}\approx -0.571428571$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by -5x+1.

$$-4-15x+3=-4\left(-5x-4\right)+3$$

Add -4 and 3 to get -1.

$$-1-15x=-4\left(-5x-4\right)+3$$

Use the distributive property to multiply -4 by -5x-4.

$$-1-15x=20x+16+3$$

Add 16 and 3 to get 19.

$$-1-15x=20x+19$$

Subtract 20x from both sides.

$$-1-15x-20x=19$$

Combine -15x and -20x to get -35x.

$$-1-35x=19$$

Add 1 to both sides.

$$-35x=19+1$$

Add 19 and 1 to get 20.

$$-35x=20$$

Divide both sides by -35.

$$x=\frac{20}{-35}$$

Reduce the fraction \frac{20}{-35} to lowest terms by extracting and canceling out 5.

$$x=-\frac{4}{7}$$