2z+5=4z-3

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


Simplifying
2z + 5 = 4z + -3

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

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

Solving
5 + 2z = -3 + 4z

Solving for variable 'z'.

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

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

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

Combine like terms: 4z + -4z = 0
5 + -2z = -3 + 0
5 + -2z = -3

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

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

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

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

Simplifying
z = 4

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