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

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


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

Remove brackets around [-1x]
2(2 * -1x + 5) + -5 = 2(-1x) + 7

Multiply 2 * -1
2(-2x + 5) + -5 = 2(-1x) + 7

Reorder the terms:
2(5 + -2x) + -5 = 2(-1x) + 7
(5 * 2 + -2x * 2) + -5 = 2(-1x) + 7
(10 + -4x) + -5 = 2(-1x) + 7

Reorder the terms:
10 + -5 + -4x = 2(-1x) + 7

Combine like terms: 10 + -5 = 5
5 + -4x = 2(-1x) + 7

Remove parenthesis around (-1x)
5 + -4x = 2 * -1x + 7

Multiply 2 * -1
5 + -4x = -2x + 7

Reorder the terms:
5 + -4x = 7 + -2x

Solving
5 + -4x = 7 + -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.
5 + -4x + 2x = 7 + -2x + 2x

Combine like terms: -4x + 2x = -2x
5 + -2x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
5 + -2x = 7 + 0
5 + -2x = 7

Add '-5' to each side of the equation.
5 + -5 + -2x = 7 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 7 + -5
-2x = 7 + -5

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

Divide each side by '-2'.
x = -1

Simplifying
x = -1

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