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

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


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

Reorder the terms:
2(-2 + x) + 3 = 2x + -1a
(-2 * 2 + x * 2) + 3 = 2x + -1a
(-4 + 2x) + 3 = 2x + -1a

Reorder the terms:
-4 + 3 + 2x = 2x + -1a

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

Reorder the terms:
-1 + 2x = -1a + 2x

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

Combine like terms: 2x + -2x = 0
-1 + 0 = -1a + 2x + -2x
-1 = -1a + 2x + -2x

Combine like terms: 2x + -2x = 0
-1 = -1a + 0
-1 = -1a

Solving
-1 = -1a

Solving for variable 'a'.

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

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

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

Add '1' to each side of the equation.
-1 + 1 + a = 0 + 1

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

Combine like terms: 0 + 1 = 1
a = 1

Simplifying
a = 1

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