10-(4z-9)=6-5x

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Solution for 10-(4z-9)=6-5x equation:


Simplifying
10 + -1(4z + -9) = 6 + -5x

Reorder the terms:
10 + -1(-9 + 4z) = 6 + -5x
10 + (-9 * -1 + 4z * -1) = 6 + -5x
10 + (9 + -4z) = 6 + -5x

Combine like terms: 10 + 9 = 19
19 + -4z = 6 + -5x

Solving
19 + -4z = 6 + -5x

Solving for variable 'z'.

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

Add '-19' to each side of the equation.
19 + -19 + -4z = 6 + -19 + -5x

Combine like terms: 19 + -19 = 0
0 + -4z = 6 + -19 + -5x
-4z = 6 + -19 + -5x

Combine like terms: 6 + -19 = -13
-4z = -13 + -5x

Divide each side by '-4'.
z = 3.25 + 1.25x

Simplifying
z = 3.25 + 1.25x

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