5x-(2a+c)=a(x+1)

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Solution for 5x-(2a+c)=a(x+1) equation:


Simplifying
5x + -1(2a + c) = a(x + 1)
5x + (2a * -1 + c * -1) = a(x + 1)
5x + (-2a + -1c) = a(x + 1)

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

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

Solving
-2a + -1c + 5x = 1a + ax

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-2a + -1c + -1a + 5x = 1a + -1a + ax

Reorder the terms:
-2a + -1a + -1c + 5x = 1a + -1a + ax

Combine like terms: -2a + -1a = -3a
-3a + -1c + 5x = 1a + -1a + ax

Combine like terms: 1a + -1a = 0
-3a + -1c + 5x = 0 + ax
-3a + -1c + 5x = ax

Add '-1ax' to each side of the equation.
-3a + -1c + -1ax + 5x = ax + -1ax

Reorder the terms:
-3a + -1ax + -1c + 5x = ax + -1ax

Combine like terms: ax + -1ax = 0
-3a + -1ax + -1c + 5x = 0

Add 'c' to each side of the equation.
-3a + -1ax + -1c + c + 5x = 0 + c

Combine like terms: -1c + c = 0
-3a + -1ax + 0 + 5x = 0 + c
-3a + -1ax + 5x = 0 + c
Remove the zero:
-3a + -1ax + 5x = c

Add '-5x' to each side of the equation.
-3a + -1ax + 5x + -5x = c + -5x

Combine like terms: 5x + -5x = 0
-3a + -1ax + 0 = c + -5x
-3a + -1ax = c + -5x

Reorder the terms:
-3a + -1ax + -1c + 5x = c + -1c + -5x + 5x

Combine like terms: c + -1c = 0
-3a + -1ax + -1c + 5x = 0 + -5x + 5x
-3a + -1ax + -1c + 5x = -5x + 5x

Combine like terms: -5x + 5x = 0
-3a + -1ax + -1c + 5x = 0

The solution to this equation could not be determined.

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