.5(6z+8)-2=2(z-10)

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Solution for .5(6z+8)-2=2(z-10) equation:


Simplifying
0.5(6z + 8) + -2 = 2(z + -10)

Reorder the terms:
0.5(8 + 6z) + -2 = 2(z + -10)
(8 * 0.5 + 6z * 0.5) + -2 = 2(z + -10)
(4 + 3z) + -2 = 2(z + -10)

Reorder the terms:
4 + -2 + 3z = 2(z + -10)

Combine like terms: 4 + -2 = 2
2 + 3z = 2(z + -10)

Reorder the terms:
2 + 3z = 2(-10 + z)
2 + 3z = (-10 * 2 + z * 2)
2 + 3z = (-20 + 2z)

Solving
2 + 3z = -20 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
2 + 3z + -2z = -20 + 2z + -2z

Combine like terms: 3z + -2z = 1z
2 + 1z = -20 + 2z + -2z

Combine like terms: 2z + -2z = 0
2 + 1z = -20 + 0
2 + 1z = -20

Add '-2' to each side of the equation.
2 + -2 + 1z = -20 + -2

Combine like terms: 2 + -2 = 0
0 + 1z = -20 + -2
1z = -20 + -2

Combine like terms: -20 + -2 = -22
1z = -22

Divide each side by '1'.
z = -22

Simplifying
z = -22

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