2a(x+1)=2x

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


Simplifying
2a(x + 1) = 2x

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

Solving
2a + 2ax = 2x

Solving for variable 'a'.

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

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

Factor out the Greatest Common Factor (GCF), '2'.
2(a + ax + -1x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(a + ax + -1x)' equal to zero and attempt to solve: Simplifying a + ax + -1x = 0 Solving a + ax + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add 'x' to each side of the equation. a + ax + -1x + x = 0 + x Combine like terms: -1x + x = 0 a + ax + 0 = 0 + x a + ax = 0 + x Remove the zero: a + ax = x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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