2(x-a)=5(x+b)

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Solution for 2(x-a)=5(x+b) equation:


Simplifying
2(x + -1a) = 5(x + b)

Reorder the terms:
2(-1a + x) = 5(x + b)
(-1a * 2 + x * 2) = 5(x + b)
(-2a + 2x) = 5(x + b)

Reorder the terms:
-2a + 2x = 5(b + x)
-2a + 2x = (b * 5 + x * 5)
-2a + 2x = (5b + 5x)

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

Solving for variable 'a'.

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

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

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

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

Divide each side by '-2'.
a = -2.5b + -1.5x

Simplifying
a = -2.5b + -1.5x

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