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

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

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

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

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

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

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

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

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

Add -7 and 3 to get -4.

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

Add -4 and 1 to get -3.

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

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

$$2x-3=15x+10$$

Subtract 15x from both sides.

$$2x-3-15x=10$$

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

$$-13x-3=10$$

Add 3 to both sides.

$$-13x=10+3$$

Add 10 and 3 to get 13.

$$-13x=13$$

Divide both sides by -13.

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

Divide 13 by -13 to get -1.

$$x=-1$$