20-2(x-4)=3(1+4x)

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Solution for 20-2(x-4)=3(1+4x) equation:


Simplifying
20 + -2(x + -4) = 3(1 + 4x)

Reorder the terms:
20 + -2(-4 + x) = 3(1 + 4x)
20 + (-4 * -2 + x * -2) = 3(1 + 4x)
20 + (8 + -2x) = 3(1 + 4x)

Combine like terms: 20 + 8 = 28
28 + -2x = 3(1 + 4x)
28 + -2x = (1 * 3 + 4x * 3)
28 + -2x = (3 + 12x)

Solving
28 + -2x = 3 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
28 + -2x + -12x = 3 + 12x + -12x

Combine like terms: -2x + -12x = -14x
28 + -14x = 3 + 12x + -12x

Combine like terms: 12x + -12x = 0
28 + -14x = 3 + 0
28 + -14x = 3

Add '-28' to each side of the equation.
28 + -28 + -14x = 3 + -28

Combine like terms: 28 + -28 = 0
0 + -14x = 3 + -28
-14x = 3 + -28

Combine like terms: 3 + -28 = -25
-14x = -25

Divide each side by '-14'.
x = 1.785714286

Simplifying
x = 1.785714286

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