2a+3=4a-5

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


Simplifying
2a + 3 = 4a + -5

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

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

Solving
3 + 2a = -5 + 4a

Solving for variable 'a'.

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

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

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

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

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

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

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

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

Simplifying
a = 4

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