3z-2+4(1-z)=5(1-2x)-12

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Solution for 3z-2+4(1-z)=5(1-2x)-12 equation: 


Simplifying
3z + -2 + 4(1 + -1z) = 5(1 + -2x) + -12
3z + -2 + (1 * 4 + -1z * 4) = 5(1 + -2x) + -12
3z + -2 + (4 + -4z) = 5(1 + -2x) + -12

Reorder the terms:
-2 + 4 + 3z + -4z = 5(1 + -2x) + -12

Combine like terms: -2 + 4 = 2
2 + 3z + -4z = 5(1 + -2x) + -12

Combine like terms: 3z + -4z = -1z
2 + -1z = 5(1 + -2x) + -12
2 + -1z = (1 * 5 + -2x * 5) + -12
2 + -1z = (5 + -10x) + -12

Reorder the terms:
2 + -1z = 5 + -12 + -10x

Combine like terms: 5 + -12 = -7
2 + -1z = -7 + -10x

Solving
2 + -1z = -7 + -10x

Solving for variable 'z'.

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

Add '-2' to each side of the equation.
2 + -2 + -1z = -7 + -2 + -10x

Combine like terms: 2 + -2 = 0
0 + -1z = -7 + -2 + -10x
-1z = -7 + -2 + -10x

Combine like terms: -7 + -2 = -9
-1z = -9 + -10x

Divide each side by '-1'.
z = 9 + 10x

Simplifying
z = 9 + 10x

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