5-(3x-1)=x-4

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Solution for 5-(3x-1)=x-4 equation:


Simplifying
5 + -1(3x + -1) = x + -4

Reorder the terms:
5 + -1(-1 + 3x) = x + -4
5 + (-1 * -1 + 3x * -1) = x + -4
5 + (1 + -3x) = x + -4

Combine like terms: 5 + 1 = 6
6 + -3x = x + -4

Reorder the terms:
6 + -3x = -4 + x

Solving
6 + -3x = -4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + -3x + -1x = -4 + x + -1x

Combine like terms: -3x + -1x = -4x
6 + -4x = -4 + x + -1x

Combine like terms: x + -1x = 0
6 + -4x = -4 + 0
6 + -4x = -4

Add '-6' to each side of the equation.
6 + -6 + -4x = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = -4 + -6
-4x = -4 + -6

Combine like terms: -4 + -6 = -10
-4x = -10

Divide each side by '-4'.
x = 2.5

Simplifying
x = 2.5

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