2z+3=3z-10

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Solution for 2z+3=3z-10 equation:


Simplifying
2z + 3 = 3z + -10

Reorder the terms:
3 + 2z = 3z + -10

Reorder the terms:
3 + 2z = -10 + 3z

Solving
3 + 2z = -10 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
3 + 2z + -3z = -10 + 3z + -3z

Combine like terms: 2z + -3z = -1z
3 + -1z = -10 + 3z + -3z

Combine like terms: 3z + -3z = 0
3 + -1z = -10 + 0
3 + -1z = -10

Add '-3' to each side of the equation.
3 + -3 + -1z = -10 + -3

Combine like terms: 3 + -3 = 0
0 + -1z = -10 + -3
-1z = -10 + -3

Combine like terms: -10 + -3 = -13
-1z = -13

Divide each side by '-1'.
z = 13

Simplifying
z = 13

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