2z-5(3x-9)=-33

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Solution for 2z-5(3x-9)=-33 equation:


Simplifying
2z + -5(3x + -9) = -33

Reorder the terms:
2z + -5(-9 + 3x) = -33
2z + (-9 * -5 + 3x * -5) = -33
2z + (45 + -15x) = -33

Reorder the terms:
45 + -15x + 2z = -33

Solving
45 + -15x + 2z = -33

Solving for variable 'x'.

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

Add '-45' to each side of the equation.
45 + -15x + -45 + 2z = -33 + -45

Reorder the terms:
45 + -45 + -15x + 2z = -33 + -45

Combine like terms: 45 + -45 = 0
0 + -15x + 2z = -33 + -45
-15x + 2z = -33 + -45

Combine like terms: -33 + -45 = -78
-15x + 2z = -78

Add '-2z' to each side of the equation.
-15x + 2z + -2z = -78 + -2z

Combine like terms: 2z + -2z = 0
-15x + 0 = -78 + -2z
-15x = -78 + -2z

Divide each side by '-15'.
x = 5.2 + 0.1333333333z

Simplifying
x = 5.2 + 0.1333333333z

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