Solve -3(5x-1)-2(1+3x)=1-6x-4x

$$-3(5x-1)-2(1+3x)=1-6x-4x$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

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

$$-15x+3-2\left(1+3x\right)=1-6x-4x$$

Use the distributive property to multiply -2 by 1+3x.

$$-15x+3-2-6x=1-6x-4x$$

Subtract 2 from 3 to get 1.

$$-15x+1-6x=1-6x-4x$$

Combine -15x and -6x to get -21x.

$$-21x+1=1-6x-4x$$

Combine -6x and -4x to get -10x.

$$-21x+1=1-10x$$

Add 10x to both sides.

$$-21x+1+10x=1$$

Combine -21x and 10x to get -11x.

$$-11x+1=1$$

Subtract 1 from both sides.

$$-11x=1-1$$

Subtract 1 from 1 to get 0.

$$-11x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since -11 is not equal to 0, x must be equal to 0.

$$x=0$$