2(3x+2)=2(x+9)-19

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Solution for 2(3x+2)=2(x+9)-19 equation:


Simplifying
2(3x + 2) = 2(x + 9) + -19

Reorder the terms:
2(2 + 3x) = 2(x + 9) + -19
(2 * 2 + 3x * 2) = 2(x + 9) + -19
(4 + 6x) = 2(x + 9) + -19

Reorder the terms:
4 + 6x = 2(9 + x) + -19
4 + 6x = (9 * 2 + x * 2) + -19
4 + 6x = (18 + 2x) + -19

Reorder the terms:
4 + 6x = 18 + -19 + 2x

Combine like terms: 18 + -19 = -1
4 + 6x = -1 + 2x

Solving
4 + 6x = -1 + 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.
4 + 6x + -2x = -1 + 2x + -2x

Combine like terms: 6x + -2x = 4x
4 + 4x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + 4x = -1 + 0
4 + 4x = -1

Add '-4' to each side of the equation.
4 + -4 + 4x = -1 + -4

Combine like terms: 4 + -4 = 0
0 + 4x = -1 + -4
4x = -1 + -4

Combine like terms: -1 + -4 = -5
4x = -5

Divide each side by '4'.
x = -1.25

Simplifying
x = -1.25

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