-2[3-(7+2x)]-(5-x)=7x

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Solution for -2[3-(7+2x)]-(5-x)=7x equation: 


Simplifying
-2[3 + -1(7 + 2x)] + -1(5 + -1x) = 7x
-2[3 + (7 * -1 + 2x * -1)] + -1(5 + -1x) = 7x
-2[3 + (-7 + -2x)] + -1(5 + -1x) = 7x

Combine like terms: 3 + -7 = -4
-2[-4 + -2x] + -1(5 + -1x) = 7x
[-4 * -2 + -2x * -2] + -1(5 + -1x) = 7x
[8 + 4x] + -1(5 + -1x) = 7x
8 + 4x + (5 * -1 + -1x * -1) = 7x
8 + 4x + (-5 + 1x) = 7x

Reorder the terms:
8 + -5 + 4x + 1x = 7x

Combine like terms: 8 + -5 = 3
3 + 4x + 1x = 7x

Combine like terms: 4x + 1x = 5x
3 + 5x = 7x

Solving
3 + 5x = 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
3 + 5x + -7x = 7x + -7x

Combine like terms: 5x + -7x = -2x
3 + -2x = 7x + -7x

Combine like terms: 7x + -7x = 0
3 + -2x = 0

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

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