2(3x+5)=(2x-4)-4x

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Solution for 2(3x+5)=(2x-4)-4x equation:


Simplifying
2(3x + 5) = (2x + -4) + -4x

Reorder the terms:
2(5 + 3x) = (2x + -4) + -4x
(5 * 2 + 3x * 2) = (2x + -4) + -4x
(10 + 6x) = (2x + -4) + -4x

Reorder the terms:
10 + 6x = (-4 + 2x) + -4x

Remove parenthesis around (-4 + 2x)
10 + 6x = -4 + 2x + -4x

Combine like terms: 2x + -4x = -2x
10 + 6x = -4 + -2x

Solving
10 + 6x = -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.
10 + 6x + 2x = -4 + -2x + 2x

Combine like terms: 6x + 2x = 8x
10 + 8x = -4 + -2x + 2x

Combine like terms: -2x + 2x = 0
10 + 8x = -4 + 0
10 + 8x = -4

Add '-10' to each side of the equation.
10 + -10 + 8x = -4 + -10

Combine like terms: 10 + -10 = 0
0 + 8x = -4 + -10
8x = -4 + -10

Combine like terms: -4 + -10 = -14
8x = -14

Divide each side by '8'.
x = -1.75

Simplifying
x = -1.75

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