2z-3(z+1)=-(5-20)-x

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Solution for 2z-3(z+1)=-(5-20)-x equation:


Simplifying
2z + -3(z + 1) = -1(5 + -20) + -1x

Reorder the terms:
2z + -3(1 + z) = -1(5 + -20) + -1x
2z + (1 * -3 + z * -3) = -1(5 + -20) + -1x
2z + (-3 + -3z) = -1(5 + -20) + -1x

Reorder the terms:
-3 + 2z + -3z = -1(5 + -20) + -1x

Combine like terms: 2z + -3z = -1z
-3 + -1z = -1(5 + -20) + -1x

Combine like terms: 5 + -20 = -15
-3 + -1z = -1(-15) + -1x

Multiply -1 * -15
-3 + -1z = 15 + -1x

Solving
-3 + -1z = 15 + -1x

Solving for variable 'z'.

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

Add '3' to each side of the equation.
-3 + 3 + -1z = 15 + 3 + -1x

Combine like terms: -3 + 3 = 0
0 + -1z = 15 + 3 + -1x
-1z = 15 + 3 + -1x

Combine like terms: 15 + 3 = 18
-1z = 18 + -1x

Divide each side by '-1'.
z = -18 + x

Simplifying
z = -18 + x

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