3x-14+2(x-a)=2x-2

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Solution for 3x-14+2(x-a)=2x-2 equation:


Simplifying
3x + -14 + 2(x + -1a) = 2x + -2

Reorder the terms:
3x + -14 + 2(-1a + x) = 2x + -2
3x + -14 + (-1a * 2 + x * 2) = 2x + -2
3x + -14 + (-2a + 2x) = 2x + -2

Reorder the terms:
-14 + -2a + 3x + 2x = 2x + -2

Combine like terms: 3x + 2x = 5x
-14 + -2a + 5x = 2x + -2

Reorder the terms:
-14 + -2a + 5x = -2 + 2x

Solving
-14 + -2a + 5x = -2 + 2x

Solving for variable 'a'.

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

Add '14' to each side of the equation.
-14 + -2a + 14 + 5x = -2 + 14 + 2x

Reorder the terms:
-14 + 14 + -2a + 5x = -2 + 14 + 2x

Combine like terms: -14 + 14 = 0
0 + -2a + 5x = -2 + 14 + 2x
-2a + 5x = -2 + 14 + 2x

Combine like terms: -2 + 14 = 12
-2a + 5x = 12 + 2x

Add '-5x' to each side of the equation.
-2a + 5x + -5x = 12 + 2x + -5x

Combine like terms: 5x + -5x = 0
-2a + 0 = 12 + 2x + -5x
-2a = 12 + 2x + -5x

Combine like terms: 2x + -5x = -3x
-2a = 12 + -3x

Divide each side by '-2'.
a = -6 + 1.5x

Simplifying
a = -6 + 1.5x

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