10x=6x+2Whatisx

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Solution for 10x=6x+2Whatisx equation:


Simplifying
10x = 6x + 2Whatisx

Reorder the terms:
10x = 2ahistxW + 6x

Solving
10x = 2ahistxW + 6x

Solving for variable 'x'.

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

Add '-2ahistxW' to each side of the equation.
-2ahistxW + 10x = 2ahistxW + -2ahistxW + 6x

Combine like terms: 2ahistxW + -2ahistxW = 0
-2ahistxW + 10x = 0 + 6x
-2ahistxW + 10x = 6x

Add '-6x' to each side of the equation.
-2ahistxW + 10x + -6x = 6x + -6x

Combine like terms: 10x + -6x = 4x
-2ahistxW + 4x = 6x + -6x

Combine like terms: 6x + -6x = 0
-2ahistxW + 4x = 0

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

Ignore the factor 2.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-1ahistW + 2)' equal to zero and attempt to solve: Simplifying -1ahistW + 2 = 0 Reorder the terms: 2 + -1ahistW = 0 Solving 2 + -1ahistW = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1ahistW = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1ahistW = 0 + -2 -1ahistW = 0 + -2 Combine like terms: 0 + -2 = -2 -1ahistW = -2 Add 'ahistW' to each side of the equation. -1ahistW + ahistW = -2 + ahistW Combine like terms: -1ahistW + ahistW = 0 0 = -2 + ahistW Simplifying 0 = -2 + ahistW The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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