2z+6-4(z+1)=-(7z+5)

Solution for 2z+6-4(z+1)=-(7z+5) equation:

Simplifying
2z + 6 + -4(z + 1) = -1(7z + 5)

Reorder the terms:
2z + 6 + -4(1 + z) = -1(7z + 5)
2z + 6 + (1 * -4 + z * -4) = -1(7z + 5)
2z + 6 + (-4 + -4z) = -1(7z + 5)

Reorder the terms:
6 + -4 + 2z + -4z = -1(7z + 5)

Combine like terms: 6 + -4 = 2
2 + 2z + -4z = -1(7z + 5)

Combine like terms: 2z + -4z = -2z
2 + -2z = -1(7z + 5)

Reorder the terms:
2 + -2z = -1(5 + 7z)
2 + -2z = (5 * -1 + 7z * -1)
2 + -2z = (-5 + -7z)

Solving
2 + -2z = -5 + -7z

Solving for variable 'z'.

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

Add '7z' to each side of the equation.
2 + -2z + 7z = -5 + -7z + 7z

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

Combine like terms: -7z + 7z = 0
2 + 5z = -5 + 0
2 + 5z = -5

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

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

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

Divide each side by '5'.
z = -1.4

Simplifying
z = -1.4