8z-3(0.5+10x)=-2-22.4x

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Solution for 8z-3(0.5+10x)=-2-22.4x equation:


Simplifying
8z + -3(0.5 + 10x) = -2 + -22.4x
8z + (0.5 * -3 + 10x * -3) = -2 + -22.4x
8z + (-1.5 + -30x) = -2 + -22.4x

Reorder the terms:
-1.5 + -30x + 8z = -2 + -22.4x

Solving
-1.5 + -30x + 8z = -2 + -22.4x

Solving for variable 'x'.

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

Add '22.4x' to each side of the equation.
-1.5 + -30x + 22.4x + 8z = -2 + -22.4x + 22.4x

Combine like terms: -30x + 22.4x = -7.6x
-1.5 + -7.6x + 8z = -2 + -22.4x + 22.4x

Combine like terms: -22.4x + 22.4x = 0.0
-1.5 + -7.6x + 8z = -2 + 0.0
-1.5 + -7.6x + 8z = -2

Add '1.5' to each side of the equation.
-1.5 + -7.6x + 1.5 + 8z = -2 + 1.5

Reorder the terms:
-1.5 + 1.5 + -7.6x + 8z = -2 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + -7.6x + 8z = -2 + 1.5
-7.6x + 8z = -2 + 1.5

Combine like terms: -2 + 1.5 = -0.5
-7.6x + 8z = -0.5

Add '-8z' to each side of the equation.
-7.6x + 8z + -8z = -0.5 + -8z

Combine like terms: 8z + -8z = 0
-7.6x + 0 = -0.5 + -8z
-7.6x = -0.5 + -8z

Divide each side by '-7.6'.
x = 0.06578947368 + 1.052631579z

Simplifying
x = 0.06578947368 + 1.052631579z

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