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

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


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

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

Reorder the terms:
-5 + 5x + 4(-3 + x) = (x + -1) + -1(1 + -1x)
-5 + 5x + (-3 * 4 + x * 4) = (x + -1) + -1(1 + -1x)
-5 + 5x + (-12 + 4x) = (x + -1) + -1(1 + -1x)

Reorder the terms:
-5 + -12 + 5x + 4x = (x + -1) + -1(1 + -1x)

Combine like terms: -5 + -12 = -17
-17 + 5x + 4x = (x + -1) + -1(1 + -1x)

Combine like terms: 5x + 4x = 9x
-17 + 9x = (x + -1) + -1(1 + -1x)

Reorder the terms:
-17 + 9x = (-1 + x) + -1(1 + -1x)

Remove parenthesis around (-1 + x)
-17 + 9x = -1 + x + -1(1 + -1x)
-17 + 9x = -1 + x + (1 * -1 + -1x * -1)
-17 + 9x = -1 + x + (-1 + 1x)

Reorder the terms:
-17 + 9x = -1 + -1 + x + 1x

Combine like terms: -1 + -1 = -2
-17 + 9x = -2 + x + 1x

Combine like terms: x + 1x = 2x
-17 + 9x = -2 + 2x

Solving
-17 + 9x = -2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-17 + 9x + -2x = -2 + 2x + -2x

Combine like terms: 9x + -2x = 7x
-17 + 7x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-17 + 7x = -2 + 0
-17 + 7x = -2

Add '17' to each side of the equation.
-17 + 17 + 7x = -2 + 17

Combine like terms: -17 + 17 = 0
0 + 7x = -2 + 17
7x = -2 + 17

Combine like terms: -2 + 17 = 15
7x = 15

Divide each side by '7'.
x = 2.142857143

Simplifying
x = 2.142857143

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