9(x-83)=6(z-47)

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Solution for 9(x-83)=6(z-47) equation:


Simplifying
9(x + -83) = 6(z + -47)

Reorder the terms:
9(-83 + x) = 6(z + -47)
(-83 * 9 + x * 9) = 6(z + -47)
(-747 + 9x) = 6(z + -47)

Reorder the terms:
-747 + 9x = 6(-47 + z)
-747 + 9x = (-47 * 6 + z * 6)
-747 + 9x = (-282 + 6z)

Solving
-747 + 9x = -282 + 6z

Solving for variable 'x'.

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

Add '747' to each side of the equation.
-747 + 747 + 9x = -282 + 747 + 6z

Combine like terms: -747 + 747 = 0
0 + 9x = -282 + 747 + 6z
9x = -282 + 747 + 6z

Combine like terms: -282 + 747 = 465
9x = 465 + 6z

Divide each side by '9'.
x = 51.66666667 + 0.6666666667z

Simplifying
x = 51.66666667 + 0.6666666667z

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