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

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


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

Reorder the terms:
4(-2 + 3x) + 1 = -3x
(-2 * 4 + 3x * 4) + 1 = -3x
(-8 + 12x) + 1 = -3x

Reorder the terms:
-8 + 1 + 12x = -3x

Combine like terms: -8 + 1 = -7
-7 + 12x = -3x

Solving
-7 + 12x = -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 = -3x + 3x

Combine like terms: 12x + 3x = 15x
-7 + 15x = -3x + 3x

Combine like terms: -3x + 3x = 0
-7 + 15x = 0

Add '7' to each side of the equation.
-7 + 7 + 15x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 15x = 0 + 7
15x = 0 + 7

Combine like terms: 0 + 7 = 7
15x = 7

Divide each side by '15'.
x = 0.4666666667

Simplifying
x = 0.4666666667

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