(5z+1)(x+3)=-2(5z+1)

Solution for (5z+1)(x+3)=-2(5z+1) equation:

Simplifying
(5z + 1)(x + 3) = -2(5z + 1)

Reorder the terms:
(1 + 5z)(x + 3) = -2(5z + 1)

Reorder the terms:
(1 + 5z)(3 + x) = -2(5z + 1)

Multiply (1 + 5z) * (3 + x)
(1(3 + x) + 5z * (3 + x)) = -2(5z + 1)
((3 * 1 + x * 1) + 5z * (3 + x)) = -2(5z + 1)
((3 + 1x) + 5z * (3 + x)) = -2(5z + 1)
(3 + 1x + (3 * 5z + x * 5z)) = -2(5z + 1)

Reorder the terms:
(3 + 1x + (5xz + 15z)) = -2(5z + 1)
(3 + 1x + (5xz + 15z)) = -2(5z + 1)
(3 + 1x + 5xz + 15z) = -2(5z + 1)

Reorder the terms:
3 + 1x + 5xz + 15z = -2(1 + 5z)
3 + 1x + 5xz + 15z = (1 * -2 + 5z * -2)
3 + 1x + 5xz + 15z = (-2 + -10z)

Solving
3 + 1x + 5xz + 15z = -2 + -10z

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + 1x + 5xz + -3 + 15z = -2 + -3 + -10z

Reorder the terms:
3 + -3 + 1x + 5xz + 15z = -2 + -3 + -10z

Combine like terms: 3 + -3 = 0
0 + 1x + 5xz + 15z = -2 + -3 + -10z
1x + 5xz + 15z = -2 + -3 + -10z

Combine like terms: -2 + -3 = -5
1x + 5xz + 15z = -5 + -10z

Add '-15z' to each side of the equation.
1x + 5xz + 15z + -15z = -5 + -10z + -15z

Combine like terms: 15z + -15z = 0
1x + 5xz + 0 = -5 + -10z + -15z
1x + 5xz = -5 + -10z + -15z

Combine like terms: -10z + -15z = -25z
1x + 5xz = -5 + -25z

Reorder the terms:
5 + 1x + 5xz + 25z = -5 + -25z + 5 + 25z

Reorder the terms:
5 + 1x + 5xz + 25z = -5 + 5 + -25z + 25z

Combine like terms: -5 + 5 = 0
5 + 1x + 5xz + 25z = 0 + -25z + 25z
5 + 1x + 5xz + 25z = -25z + 25z

Combine like terms: -25z + 25z = 0
5 + 1x + 5xz + 25z = 0

The solution to this equation could not be determined.