3x+2a=7a-(x+a)

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Solution for 3x+2a=7a-(x+a) equation:


Simplifying
3x + 2a = 7a + -1(x + a)

Reorder the terms:
2a + 3x = 7a + -1(x + a)

Reorder the terms:
2a + 3x = 7a + -1(a + x)
2a + 3x = 7a + (a * -1 + x * -1)
2a + 3x = 7a + (-1a + -1x)

Combine like terms: 7a + -1a = 6a
2a + 3x = 6a + -1x

Solving
2a + 3x = 6a + -1x

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
2a + -6a + 3x = 6a + -6a + -1x

Combine like terms: 2a + -6a = -4a
-4a + 3x = 6a + -6a + -1x

Combine like terms: 6a + -6a = 0
-4a + 3x = 0 + -1x
-4a + 3x = -1x

Add '-3x' to each side of the equation.
-4a + 3x + -3x = -1x + -3x

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

Combine like terms: -1x + -3x = -4x
-4a = -4x

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

Simplifying
a = x

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