-2(3x-1)+4x=4x+8+6xe

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Solution for -2(3x-1)+4x=4x+8+6xe equation:


Simplifying
-2(3x + -1) + 4x = 4x + 8 + 6xe

Reorder the terms:
-2(-1 + 3x) + 4x = 4x + 8 + 6xe
(-1 * -2 + 3x * -2) + 4x = 4x + 8 + 6xe
(2 + -6x) + 4x = 4x + 8 + 6xe

Combine like terms: -6x + 4x = -2x
2 + -2x = 4x + 8 + 6xe

Reorder the terms:
2 + -2x = 8 + 6ex + 4x

Solving
2 + -2x = 8 + 6ex + 4x

Solving for variable 'x'.

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

Add '-6ex' to each side of the equation.
2 + -6ex + -2x = 8 + 6ex + -6ex + 4x

Combine like terms: 6ex + -6ex = 0
2 + -6ex + -2x = 8 + 0 + 4x
2 + -6ex + -2x = 8 + 4x

Add '-4x' to each side of the equation.
2 + -6ex + -2x + -4x = 8 + 4x + -4x

Combine like terms: -2x + -4x = -6x
2 + -6ex + -6x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -6ex + -6x = 8 + 0
2 + -6ex + -6x = 8

Add '-2' to each side of the equation.
2 + -6ex + -2 + -6x = 8 + -2

Reorder the terms:
2 + -2 + -6ex + -6x = 8 + -2

Combine like terms: 2 + -2 = 0
0 + -6ex + -6x = 8 + -2
-6ex + -6x = 8 + -2

Combine like terms: 8 + -2 = 6
-6ex + -6x = 6

Reorder the terms:
-6 + -6ex + -6x = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + -6ex + -6x = 0

Factor out the Greatest Common Factor (GCF), '-6'.
-6(1 + ex + x) = 0

Ignore the factor -6.

Subproblem 1

Set the factor '(1 + ex + x)' equal to zero and attempt to solve: Simplifying 1 + ex + x = 0 Solving 1 + ex + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + ex + -1 + x = 0 + -1 Reorder the terms: 1 + -1 + ex + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + ex + x = 0 + -1 ex + x = 0 + -1 Combine like terms: 0 + -1 = -1 ex + x = -1 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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