2z-5(2x-1)=3(4z+5)

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Solution for 2z-5(2x-1)=3(4z+5) equation:


Simplifying
2z + -5(2x + -1) = 3(4z + 5)

Reorder the terms:
2z + -5(-1 + 2x) = 3(4z + 5)
2z + (-1 * -5 + 2x * -5) = 3(4z + 5)
2z + (5 + -10x) = 3(4z + 5)

Reorder the terms:
5 + -10x + 2z = 3(4z + 5)

Reorder the terms:
5 + -10x + 2z = 3(5 + 4z)
5 + -10x + 2z = (5 * 3 + 4z * 3)
5 + -10x + 2z = (15 + 12z)

Solving
5 + -10x + 2z = 15 + 12z

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -10x + -5 + 2z = 15 + -5 + 12z

Reorder the terms:
5 + -5 + -10x + 2z = 15 + -5 + 12z

Combine like terms: 5 + -5 = 0
0 + -10x + 2z = 15 + -5 + 12z
-10x + 2z = 15 + -5 + 12z

Combine like terms: 15 + -5 = 10
-10x + 2z = 10 + 12z

Add '-2z' to each side of the equation.
-10x + 2z + -2z = 10 + 12z + -2z

Combine like terms: 2z + -2z = 0
-10x + 0 = 10 + 12z + -2z
-10x = 10 + 12z + -2z

Combine like terms: 12z + -2z = 10z
-10x = 10 + 10z

Divide each side by '-10'.
x = -1 + -1z

Simplifying
x = -1 + -1z

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