2-3(3x+1)=2(7-6x)

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Solution for 2-3(3x+1)=2(7-6x) equation:


Simplifying
2 + -3(3x + 1) = 2(7 + -6x)

Reorder the terms:
2 + -3(1 + 3x) = 2(7 + -6x)
2 + (1 * -3 + 3x * -3) = 2(7 + -6x)
2 + (-3 + -9x) = 2(7 + -6x)

Combine like terms: 2 + -3 = -1
-1 + -9x = 2(7 + -6x)
-1 + -9x = (7 * 2 + -6x * 2)
-1 + -9x = (14 + -12x)

Solving
-1 + -9x = 14 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-1 + -9x + 12x = 14 + -12x + 12x

Combine like terms: -9x + 12x = 3x
-1 + 3x = 14 + -12x + 12x

Combine like terms: -12x + 12x = 0
-1 + 3x = 14 + 0
-1 + 3x = 14

Add '1' to each side of the equation.
-1 + 1 + 3x = 14 + 1

Combine like terms: -1 + 1 = 0
0 + 3x = 14 + 1
3x = 14 + 1

Combine like terms: 14 + 1 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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