.5(6x+20)-8=2(z-x)

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Solution for .5(6x+20)-8=2(z-x) equation:


Simplifying
0.5(6x + 20) + -8 = 2(z + -1x)

Reorder the terms:
0.5(20 + 6x) + -8 = 2(z + -1x)
(20 * 0.5 + 6x * 0.5) + -8 = 2(z + -1x)
(10 + 3x) + -8 = 2(z + -1x)

Reorder the terms:
10 + -8 + 3x = 2(z + -1x)

Combine like terms: 10 + -8 = 2
2 + 3x = 2(z + -1x)

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

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

Solving for variable 'x'.

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

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

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

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

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

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

Divide each side by '5'.
x = -0.4 + 0.4z

Simplifying
x = -0.4 + 0.4z

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