4z+3=2z-5

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Solution for 4z+3=2z-5 equation:


Simplifying
4z + 3 = 2z + -5

Reorder the terms:
3 + 4z = 2z + -5

Reorder the terms:
3 + 4z = -5 + 2z

Solving
3 + 4z = -5 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
3 + 4z + -2z = -5 + 2z + -2z

Combine like terms: 4z + -2z = 2z
3 + 2z = -5 + 2z + -2z

Combine like terms: 2z + -2z = 0
3 + 2z = -5 + 0
3 + 2z = -5

Add '-3' to each side of the equation.
3 + -3 + 2z = -5 + -3

Combine like terms: 3 + -3 = 0
0 + 2z = -5 + -3
2z = -5 + -3

Combine like terms: -5 + -3 = -8
2z = -8

Divide each side by '2'.
z = -4

Simplifying
z = -4

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