6(-x+7x)-(3-x)=-(-x-7)+16

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Solution for 6(-x+7x)-(3-x)=-(-x-7)+16 equation:


Simplifying
6(-1x + 7x) + -1(3 + -1x) = -1(-1x + -7) + 16

Combine like terms: -1x + 7x = 6x
6(6x) + -1(3 + -1x) = -1(-1x + -7) + 16

Remove parenthesis around (6x)
6 * 6x + -1(3 + -1x) = -1(-1x + -7) + 16

Multiply 6 * 6
36x + -1(3 + -1x) = -1(-1x + -7) + 16
36x + (3 * -1 + -1x * -1) = -1(-1x + -7) + 16
36x + (-3 + 1x) = -1(-1x + -7) + 16

Reorder the terms:
-3 + 36x + 1x = -1(-1x + -7) + 16

Combine like terms: 36x + 1x = 37x
-3 + 37x = -1(-1x + -7) + 16

Reorder the terms:
-3 + 37x = -1(-7 + -1x) + 16
-3 + 37x = (-7 * -1 + -1x * -1) + 16
-3 + 37x = (7 + 1x) + 16

Reorder the terms:
-3 + 37x = 7 + 16 + 1x

Combine like terms: 7 + 16 = 23
-3 + 37x = 23 + 1x

Solving
-3 + 37x = 23 + 1x

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.
-3 + 37x + -1x = 23 + 1x + -1x

Combine like terms: 37x + -1x = 36x
-3 + 36x = 23 + 1x + -1x

Combine like terms: 1x + -1x = 0
-3 + 36x = 23 + 0
-3 + 36x = 23

Add '3' to each side of the equation.
-3 + 3 + 36x = 23 + 3

Combine like terms: -3 + 3 = 0
0 + 36x = 23 + 3
36x = 23 + 3

Combine like terms: 23 + 3 = 26
36x = 26

Divide each side by '36'.
x = 0.7222222222

Simplifying
x = 0.7222222222

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