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

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Solution for [4(x+2)-3]-[7-2(x-3)]= equation:


Simplifying
[4(x + 2) + -3] + -1[7 + -2(x + -3)] = 0

Reorder the terms:
[4(2 + x) + -3] + -1[7 + -2(x + -3)] = 0
[(2 * 4 + x * 4) + -3] + -1[7 + -2(x + -3)] = 0
[(8 + 4x) + -3] + -1[7 + -2(x + -3)] = 0

Reorder the terms:
[8 + -3 + 4x] + -1[7 + -2(x + -3)] = 0

Combine like terms: 8 + -3 = 5
[5 + 4x] + -1[7 + -2(x + -3)] = 0

Remove brackets around [5 + 4x]
5 + 4x + -1[7 + -2(x + -3)] = 0

Reorder the terms:
5 + 4x + -1[7 + -2(-3 + x)] = 0
5 + 4x + -1[7 + (-3 * -2 + x * -2)] = 0
5 + 4x + -1[7 + (6 + -2x)] = 0

Combine like terms: 7 + 6 = 13
5 + 4x + -1[13 + -2x] = 0
5 + 4x + [13 * -1 + -2x * -1] = 0
5 + 4x + [-13 + 2x] = 0

Reorder the terms:
5 + -13 + 4x + 2x = 0

Combine like terms: 5 + -13 = -8
-8 + 4x + 2x = 0

Combine like terms: 4x + 2x = 6x
-8 + 6x = 0

Solving
-8 + 6x = 0

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 6x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 6x = 0 + 8
6x = 0 + 8

Combine like terms: 0 + 8 = 8
6x = 8

Divide each side by '6'.
x = 1.333333333

Simplifying
x = 1.333333333

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