.5z+3x-4=10

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Solution for .5z+3x-4=10 equation:


Simplifying
0.5z + 3x + -4 = 10

Reorder the terms:
-4 + 3x + 0.5z = 10

Solving
-4 + 3x + 0.5z = 10

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 3x + 4 + 0.5z = 10 + 4

Reorder the terms:
-4 + 4 + 3x + 0.5z = 10 + 4

Combine like terms: -4 + 4 = 0
0 + 3x + 0.5z = 10 + 4
3x + 0.5z = 10 + 4

Combine like terms: 10 + 4 = 14
3x + 0.5z = 14

Add '-0.5z' to each side of the equation.
3x + 0.5z + -0.5z = 14 + -0.5z

Combine like terms: 0.5z + -0.5z = 0.0
3x + 0.0 = 14 + -0.5z
3x = 14 + -0.5z

Divide each side by '3'.
x = 4.666666667 + -0.1666666667z

Simplifying
x = 4.666666667 + -0.1666666667z

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