8-(5x+2)=8z-2(z-5)

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Solution for 8-(5x+2)=8z-2(z-5) equation:


Simplifying
8 + -1(5x + 2) = 8z + -2(z + -5)

Reorder the terms:
8 + -1(2 + 5x) = 8z + -2(z + -5)
8 + (2 * -1 + 5x * -1) = 8z + -2(z + -5)
8 + (-2 + -5x) = 8z + -2(z + -5)

Combine like terms: 8 + -2 = 6
6 + -5x = 8z + -2(z + -5)

Reorder the terms:
6 + -5x = 8z + -2(-5 + z)
6 + -5x = 8z + (-5 * -2 + z * -2)
6 + -5x = 8z + (10 + -2z)

Reorder the terms:
6 + -5x = 10 + 8z + -2z

Combine like terms: 8z + -2z = 6z
6 + -5x = 10 + 6z

Solving
6 + -5x = 10 + 6z

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -5x = 10 + -6 + 6z

Combine like terms: 6 + -6 = 0
0 + -5x = 10 + -6 + 6z
-5x = 10 + -6 + 6z

Combine like terms: 10 + -6 = 4
-5x = 4 + 6z

Divide each side by '-5'.
x = -0.8 + -1.2z

Simplifying
x = -0.8 + -1.2z

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