6x-(4x+3)+[3x+2-(x-2)]=15

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Solution for 6x-(4x+3)+[3x+2-(x-2)]=15 equation:


Simplifying
6x + -1(4x + 3) + [3x + 2 + -1(x + -2)] = 15

Reorder the terms:
6x + -1(3 + 4x) + [3x + 2 + -1(x + -2)] = 15
6x + (3 * -1 + 4x * -1) + [3x + 2 + -1(x + -2)] = 15
6x + (-3 + -4x) + [3x + 2 + -1(x + -2)] = 15

Reorder the terms:
6x + -3 + -4x + [3x + 2 + -1(-2 + x)] = 15
6x + -3 + -4x + [3x + 2 + (-2 * -1 + x * -1)] = 15
6x + -3 + -4x + [3x + 2 + (2 + -1x)] = 15

Reorder the terms:
6x + -3 + -4x + [2 + 2 + 3x + -1x] = 15

Combine like terms: 2 + 2 = 4
6x + -3 + -4x + [4 + 3x + -1x] = 15

Combine like terms: 3x + -1x = 2x
6x + -3 + -4x + [4 + 2x] = 15

Remove brackets around [4 + 2x]
6x + -3 + -4x + 4 + 2x = 15

Reorder the terms:
-3 + 4 + 6x + -4x + 2x = 15

Combine like terms: -3 + 4 = 1
1 + 6x + -4x + 2x = 15

Combine like terms: 6x + -4x = 2x
1 + 2x + 2x = 15

Combine like terms: 2x + 2x = 4x
1 + 4x = 15

Solving
1 + 4x = 15

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 4x = 15 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = 15 + -1
4x = 15 + -1

Combine like terms: 15 + -1 = 14
4x = 14

Divide each side by '4'.
x = 3.5

Simplifying
x = 3.5

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