2(a-2)=3(a-5)

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Solution for 2(a-2)=3(a-5) equation:


Simplifying
2(a + -2) = 3(a + -5)

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

Reorder the terms:
-4 + 2a = 3(-5 + a)
-4 + 2a = (-5 * 3 + a * 3)
-4 + 2a = (-15 + 3a)

Solving
-4 + 2a = -15 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-4 + 2a + -3a = -15 + 3a + -3a

Combine like terms: 2a + -3a = -1a
-4 + -1a = -15 + 3a + -3a

Combine like terms: 3a + -3a = 0
-4 + -1a = -15 + 0
-4 + -1a = -15

Add '4' to each side of the equation.
-4 + 4 + -1a = -15 + 4

Combine like terms: -4 + 4 = 0
0 + -1a = -15 + 4
-1a = -15 + 4

Combine like terms: -15 + 4 = -11
-1a = -11

Divide each side by '-1'.
a = 11

Simplifying
a = 11

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