6x-4(2x-5)=14x-20

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Solution for 6x-4(2x-5)=14x-20 equation:


Simplifying
6x + -4(2x + -5) = 14x + -20

Reorder the terms:
6x + -4(-5 + 2x) = 14x + -20
6x + (-5 * -4 + 2x * -4) = 14x + -20
6x + (20 + -8x) = 14x + -20

Reorder the terms:
20 + 6x + -8x = 14x + -20

Combine like terms: 6x + -8x = -2x
20 + -2x = 14x + -20

Reorder the terms:
20 + -2x = -20 + 14x

Solving
20 + -2x = -20 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
20 + -2x + -14x = -20 + 14x + -14x

Combine like terms: -2x + -14x = -16x
20 + -16x = -20 + 14x + -14x

Combine like terms: 14x + -14x = 0
20 + -16x = -20 + 0
20 + -16x = -20

Add '-20' to each side of the equation.
20 + -20 + -16x = -20 + -20

Combine like terms: 20 + -20 = 0
0 + -16x = -20 + -20
-16x = -20 + -20

Combine like terms: -20 + -20 = -40
-16x = -40

Divide each side by '-16'.
x = 2.5

Simplifying
x = 2.5

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