4x(X-7)=2x-4

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Solution for 4x(X-7)=2x-4 equation:


Simplifying
4x(X + -7) = 2x + -4

Reorder the terms:
4x(-7 + X) = 2x + -4
(-7 * 4x + X * 4x) = 2x + -4
(-28x + 4xX) = 2x + -4

Reorder the terms:
-28x + 4xX = -4 + 2x

Solving
-28x + 4xX = -4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-28x + -2x + 4xX = -4 + 2x + -2x

Combine like terms: -28x + -2x = -30x
-30x + 4xX = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-30x + 4xX = -4 + 0
-30x + 4xX = -4

Reorder the terms:
4 + -30x + 4xX = -4 + 4

Combine like terms: -4 + 4 = 0
4 + -30x + 4xX = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + -15x + 2xX) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(2 + -15x + 2xX)' equal to zero and attempt to solve: Simplifying 2 + -15x + 2xX = 0 Solving 2 + -15x + 2xX = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -15x + -2 + 2xX = 0 + -2 Reorder the terms: 2 + -2 + -15x + 2xX = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -15x + 2xX = 0 + -2 -15x + 2xX = 0 + -2 Combine like terms: 0 + -2 = -2 -15x + 2xX = -2 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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