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

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


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

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

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

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

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

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

Combine like terms: 12x + -12x = 0
-15x = -7 + 0
-15x = -7

Divide each side by '-15'.
x = 0.4666666667

Simplifying
x = 0.4666666667

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