3(2x+3)=5(8-5z)

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Solution for 3(2x+3)=5(8-5z) equation:


Simplifying
3(2x + 3) = 5(8 + -5z)

Reorder the terms:
3(3 + 2x) = 5(8 + -5z)
(3 * 3 + 2x * 3) = 5(8 + -5z)
(9 + 6x) = 5(8 + -5z)
9 + 6x = (8 * 5 + -5z * 5)
9 + 6x = (40 + -25z)

Solving
9 + 6x = 40 + -25z

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 6x = 40 + -9 + -25z

Combine like terms: 9 + -9 = 0
0 + 6x = 40 + -9 + -25z
6x = 40 + -9 + -25z

Combine like terms: 40 + -9 = 31
6x = 31 + -25z

Divide each side by '6'.
x = 5.166666667 + -4.166666667z

Simplifying
x = 5.166666667 + -4.166666667z

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