10b+a=10a+b(5x+1)

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Solution for 10b+a=10a+b(5x+1) equation:


Simplifying
10b + a = 10a + b(5x + 1)

Reorder the terms:
a + 10b = 10a + b(5x + 1)

Reorder the terms:
a + 10b = 10a + b(1 + 5x)
a + 10b = 10a + (1 * b + 5x * b)
a + 10b = 10a + (1b + 5bx)

Solving
a + 10b = 10a + 1b + 5bx

Solving for variable 'a'.

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

Add '-10a' to each side of the equation.
a + -10a + 10b = 10a + 1b + -10a + 5bx

Combine like terms: a + -10a = -9a
-9a + 10b = 10a + 1b + -10a + 5bx

Reorder the terms:
-9a + 10b = 10a + -10a + 1b + 5bx

Combine like terms: 10a + -10a = 0
-9a + 10b = 0 + 1b + 5bx
-9a + 10b = 1b + 5bx

Add '-10b' to each side of the equation.
-9a + 10b + -10b = 1b + -10b + 5bx

Combine like terms: 10b + -10b = 0
-9a + 0 = 1b + -10b + 5bx
-9a = 1b + -10b + 5bx

Combine like terms: 1b + -10b = -9b
-9a = -9b + 5bx

Divide each side by '-9'.
a = b + -0.5555555556bx

Simplifying
a = b + -0.5555555556bx

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