2(3x+7)=2x-19

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Solution for 2(3x+7)=2x-19 equation:


Simplifying
2(3x + 7) = 2x + -19

Reorder the terms:
2(7 + 3x) = 2x + -19
(7 * 2 + 3x * 2) = 2x + -19
(14 + 6x) = 2x + -19

Reorder the terms:
14 + 6x = -19 + 2x

Solving
14 + 6x = -19 + 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.
14 + 6x + -2x = -19 + 2x + -2x

Combine like terms: 6x + -2x = 4x
14 + 4x = -19 + 2x + -2x

Combine like terms: 2x + -2x = 0
14 + 4x = -19 + 0
14 + 4x = -19

Add '-14' to each side of the equation.
14 + -14 + 4x = -19 + -14

Combine like terms: 14 + -14 = 0
0 + 4x = -19 + -14
4x = -19 + -14

Combine like terms: -19 + -14 = -33
4x = -33

Divide each side by '4'.
x = -8.25

Simplifying
x = -8.25

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