2(3x+1)-4(x-13)=2

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Solution for 2(3x+1)-4(x-13)=2 equation: 


Simplifying
2(3x + 1) + -4(x + -13) = 2

Reorder the terms:
2(1 + 3x) + -4(x + -13) = 2
(1 * 2 + 3x * 2) + -4(x + -13) = 2
(2 + 6x) + -4(x + -13) = 2

Reorder the terms:
2 + 6x + -4(-13 + x) = 2
2 + 6x + (-13 * -4 + x * -4) = 2
2 + 6x + (52 + -4x) = 2

Reorder the terms:
2 + 52 + 6x + -4x = 2

Combine like terms: 2 + 52 = 54
54 + 6x + -4x = 2

Combine like terms: 6x + -4x = 2x
54 + 2x = 2

Solving
54 + 2x = 2

Solving for variable 'x'.

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

Add '-54' to each side of the equation.
54 + -54 + 2x = 2 + -54

Combine like terms: 54 + -54 = 0
0 + 2x = 2 + -54
2x = 2 + -54

Combine like terms: 2 + -54 = -52
2x = -52

Divide each side by '2'.
x = -26

Simplifying
x = -26

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