-7(3x-1)=-(x-4)

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Solution for -7(3x-1)=-(x-4) equation:


Simplifying
-7(3x + -1) = -1(x + -4)

Reorder the terms:
-7(-1 + 3x) = -1(x + -4)
(-1 * -7 + 3x * -7) = -1(x + -4)
(7 + -21x) = -1(x + -4)

Reorder the terms:
7 + -21x = -1(-4 + x)
7 + -21x = (-4 * -1 + x * -1)
7 + -21x = (4 + -1x)

Solving
7 + -21x = 4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
7 + -21x + x = 4 + -1x + x

Combine like terms: -21x + x = -20x
7 + -20x = 4 + -1x + x

Combine like terms: -1x + x = 0
7 + -20x = 4 + 0
7 + -20x = 4

Add '-7' to each side of the equation.
7 + -7 + -20x = 4 + -7

Combine like terms: 7 + -7 = 0
0 + -20x = 4 + -7
-20x = 4 + -7

Combine like terms: 4 + -7 = -3
-20x = -3

Divide each side by '-20'.
x = 0.15

Simplifying
x = 0.15

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