-(x+4)+(5z+1)=-2(z+1)

Solution for -(x+4)+(5z+1)=-2(z+1) equation:

Simplifying
-1(x + 4) + (5z + 1) = -2(z + 1)

Reorder the terms:
-1(4 + x) + (5z + 1) = -2(z + 1)
(4 * -1 + x * -1) + (5z + 1) = -2(z + 1)
(-4 + -1x) + (5z + 1) = -2(z + 1)

Reorder the terms:
-4 + -1x + (1 + 5z) = -2(z + 1)

Remove parenthesis around (1 + 5z)
-4 + -1x + 1 + 5z = -2(z + 1)

Reorder the terms:
-4 + 1 + -1x + 5z = -2(z + 1)

Combine like terms: -4 + 1 = -3
-3 + -1x + 5z = -2(z + 1)

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

Solving
-3 + -1x + 5z = -2 + -2z

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 + 3 + 5z = -2 + 3 + -2z

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

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

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

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

Combine like terms: 5z + -5z = 0
-1x + 0 = 1 + -2z + -5z
-1x = 1 + -2z + -5z

Combine like terms: -2z + -5z = -7z
-1x = 1 + -7z

Divide each side by '-1'.
x = -1 + 7z

Simplifying
x = -1 + 7z