35-(x-1)=-7(5-x)+28x

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Solution for 35-(x-1)=-7(5-x)+28x equation:


Simplifying
35 + -1(x + -1) = -7(5 + -1x) + 28x

Reorder the terms:
35 + -1(-1 + x) = -7(5 + -1x) + 28x
35 + (-1 * -1 + x * -1) = -7(5 + -1x) + 28x
35 + (1 + -1x) = -7(5 + -1x) + 28x

Combine like terms: 35 + 1 = 36
36 + -1x = -7(5 + -1x) + 28x
36 + -1x = (5 * -7 + -1x * -7) + 28x
36 + -1x = (-35 + 7x) + 28x

Combine like terms: 7x + 28x = 35x
36 + -1x = -35 + 35x

Solving
36 + -1x = -35 + 35x

Solving for variable 'x'.

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

Add '-35x' to each side of the equation.
36 + -1x + -35x = -35 + 35x + -35x

Combine like terms: -1x + -35x = -36x
36 + -36x = -35 + 35x + -35x

Combine like terms: 35x + -35x = 0
36 + -36x = -35 + 0
36 + -36x = -35

Add '-36' to each side of the equation.
36 + -36 + -36x = -35 + -36

Combine like terms: 36 + -36 = 0
0 + -36x = -35 + -36
-36x = -35 + -36

Combine like terms: -35 + -36 = -71
-36x = -71

Divide each side by '-36'.
x = 1.972222222

Simplifying
x = 1.972222222

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