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

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


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

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

Combine like terms: 1 + -1 = 0
0 + -3x = -4(x + -3)
-3x = -4(x + -3)

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

Solving
-3x = 12 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-3x + 4x = 12 + -4x + 4x

Combine like terms: -3x + 4x = 1x
1x = 12 + -4x + 4x

Combine like terms: -4x + 4x = 0
1x = 12 + 0
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12

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