2(2x+3)=4(2x-19)-2

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Solution for 2(2x+3)=4(2x-19)-2 equation:


Simplifying
2(2x + 3) = 4(2x + -19) + -2

Reorder the terms:
2(3 + 2x) = 4(2x + -19) + -2
(3 * 2 + 2x * 2) = 4(2x + -19) + -2
(6 + 4x) = 4(2x + -19) + -2

Reorder the terms:
6 + 4x = 4(-19 + 2x) + -2
6 + 4x = (-19 * 4 + 2x * 4) + -2
6 + 4x = (-76 + 8x) + -2

Reorder the terms:
6 + 4x = -76 + -2 + 8x

Combine like terms: -76 + -2 = -78
6 + 4x = -78 + 8x

Solving
6 + 4x = -78 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + 4x + -8x = -78 + 8x + -8x

Combine like terms: 4x + -8x = -4x
6 + -4x = -78 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -4x = -78 + 0
6 + -4x = -78

Add '-6' to each side of the equation.
6 + -6 + -4x = -78 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = -78 + -6
-4x = -78 + -6

Combine like terms: -78 + -6 = -84
-4x = -84

Divide each side by '-4'.
x = 21

Simplifying
x = 21

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