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

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


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

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

Remove parenthesis around (1 + -3x)
1 + -3x + -4 = 3(x + -2)

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

Combine like terms: 1 + -4 = -3
-3 + -3x = 3(x + -2)

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

Solving
-3 + -3x = -6 + 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.
-3 + -3x + -3x = -6 + 3x + -3x

Combine like terms: -3x + -3x = -6x
-3 + -6x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-3 + -6x = -6 + 0
-3 + -6x = -6

Add '3' to each side of the equation.
-3 + 3 + -6x = -6 + 3

Combine like terms: -3 + 3 = 0
0 + -6x = -6 + 3
-6x = -6 + 3

Combine like terms: -6 + 3 = -3
-6x = -3

Divide each side by '-6'.
x = 0.5

Simplifying
x = 0.5

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