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

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


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

Reorder the terms:
3(-3 + 4x) + 2 = 1 + 3x
(-3 * 3 + 4x * 3) + 2 = 1 + 3x
(-9 + 12x) + 2 = 1 + 3x

Reorder the terms:
-9 + 2 + 12x = 1 + 3x

Combine like terms: -9 + 2 = -7
-7 + 12x = 1 + 3x

Solving
-7 + 12x = 1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-7 + 12x + -3x = 1 + 3x + -3x

Combine like terms: 12x + -3x = 9x
-7 + 9x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
-7 + 9x = 1 + 0
-7 + 9x = 1

Add '7' to each side of the equation.
-7 + 7 + 9x = 1 + 7

Combine like terms: -7 + 7 = 0
0 + 9x = 1 + 7
9x = 1 + 7

Combine like terms: 1 + 7 = 8
9x = 8

Divide each side by '9'.
x = 0.8888888889

Simplifying
x = 0.8888888889

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