2(x-a)=3(a+x)

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Solution for 2(x-a)=3(a+x) equation:


Simplifying
2(x + -1a) = 3(a + x)

Reorder the terms:
2(-1a + x) = 3(a + x)
(-1a * 2 + x * 2) = 3(a + x)
(-2a + 2x) = 3(a + x)
-2a + 2x = (a * 3 + x * 3)
-2a + 2x = (3a + 3x)

Solving
-2a + 2x = 3a + 3x

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.
-2a + -3a + 2x = 3a + -3a + 3x

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

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

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

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

Combine like terms: 3x + -2x = 1x
-5a = 1x

Divide each side by '-5'.
a = -0.2x

Simplifying
a = -0.2x

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