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

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


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

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

Reorder the terms:
2 + 6x + -4(-3 + x) = 4
2 + 6x + (-3 * -4 + x * -4) = 4
2 + 6x + (12 + -4x) = 4

Reorder the terms:
2 + 12 + 6x + -4x = 4

Combine like terms: 2 + 12 = 14
14 + 6x + -4x = 4

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

Solving
14 + 2x = 4

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + 2x = 4 + -14

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

Combine like terms: 4 + -14 = -10
2x = -10

Divide each side by '2'.
x = -5

Simplifying
x = -5

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