Solve 7(2x-1)-3(4x-1)-5(3x+2)+1=0

$$7(2x-1)-3(4x-1)-5(3x+2)+1=0$$

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7 by 2x-1.

$$14x-7-3\left(4x-1\right)-5\left(3x+2\right)+1=0$$

Use the distributive property to multiply -3 by 4x-1.

$$14x-7-12x+3-5\left(3x+2\right)+1=0$$

Combine 14x and -12x to get 2x.

$$2x-7+3-5\left(3x+2\right)+1=0$$

Add -7 and 3 to get -4.

$$2x-4-5\left(3x+2\right)+1=0$$

Use the distributive property to multiply -5 by 3x+2.

$$2x-4-15x-10+1=0$$

Combine 2x and -15x to get -13x.

$$-13x-4-10+1=0$$

Subtract 10 from -4 to get -14.

$$-13x-14+1=0$$

Add -14 and 1 to get -13.

$$-13x-13=0$$

Add 13 to both sides. Anything plus zero gives itself.

$$-13x=13$$

Divide both sides by -13.

$$x=\frac{13}{-13}$$

Divide 13 by -13 to get -1.

$$x=-1$$