6(1+2x)=-2x+4(5+4x)

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Solution for 6(1+2x)=-2x+4(5+4x) equation:


Simplifying
6(1 + 2x) = -2x + 4(5 + 4x)
(1 * 6 + 2x * 6) = -2x + 4(5 + 4x)
(6 + 12x) = -2x + 4(5 + 4x)
6 + 12x = -2x + (5 * 4 + 4x * 4)
6 + 12x = -2x + (20 + 16x)

Reorder the terms:
6 + 12x = 20 + -2x + 16x

Combine like terms: -2x + 16x = 14x
6 + 12x = 20 + 14x

Solving
6 + 12x = 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.
6 + 12x + -14x = 20 + 14x + -14x

Combine like terms: 12x + -14x = -2x
6 + -2x = 20 + 14x + -14x

Combine like terms: 14x + -14x = 0
6 + -2x = 20 + 0
6 + -2x = 20

Add '-6' to each side of the equation.
6 + -6 + -2x = 20 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 20 + -6
-2x = 20 + -6

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

Divide each side by '-2'.
x = -7

Simplifying
x = -7

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