5x-(x+7)=8+[3x-(2+x)]

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Solution for 5x-(x+7)=8+[3x-(2+x)] equation:


Simplifying
5x + -1(x + 7) = 8 + [3x + -1(2 + x)]

Reorder the terms:
5x + -1(7 + x) = 8 + [3x + -1(2 + x)]
5x + (7 * -1 + x * -1) = 8 + [3x + -1(2 + x)]
5x + (-7 + -1x) = 8 + [3x + -1(2 + x)]

Reorder the terms:
-7 + 5x + -1x = 8 + [3x + -1(2 + x)]

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

Reorder the terms:
-7 + 4x = 8 + [-2 + 3x + -1x]

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

Remove brackets around [-2 + 2x]
-7 + 4x = 8 + -2 + 2x

Combine like terms: 8 + -2 = 6
-7 + 4x = 6 + 2x

Solving
-7 + 4x = 6 + 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.
-7 + 4x + -2x = 6 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-7 + 2x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-7 + 2x = 6 + 0
-7 + 2x = 6

Add '7' to each side of the equation.
-7 + 7 + 2x = 6 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = 6 + 7
2x = 6 + 7

Combine like terms: 6 + 7 = 13
2x = 13

Divide each side by '2'.
x = 6.5

Simplifying
x = 6.5

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