5[3(x+4)-2(1-x)]-x-15=14x+75

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Solution for 5[3(x+4)-2(1-x)]-x-15=14x+75 equation: 


Simplifying
5[3(x + 4) + -2(1 + -1x)] + -1x + -15 = 14x + 75

Reorder the terms:
5[3(4 + x) + -2(1 + -1x)] + -1x + -15 = 14x + 75
5[(4 * 3 + x * 3) + -2(1 + -1x)] + -1x + -15 = 14x + 75
5[(12 + 3x) + -2(1 + -1x)] + -1x + -15 = 14x + 75
5[12 + 3x + (1 * -2 + -1x * -2)] + -1x + -15 = 14x + 75
5[12 + 3x + (-2 + 2x)] + -1x + -15 = 14x + 75

Reorder the terms:
5[12 + -2 + 3x + 2x] + -1x + -15 = 14x + 75

Combine like terms: 12 + -2 = 10
5[10 + 3x + 2x] + -1x + -15 = 14x + 75

Combine like terms: 3x + 2x = 5x
5[10 + 5x] + -1x + -15 = 14x + 75
[10 * 5 + 5x * 5] + -1x + -15 = 14x + 75
[50 + 25x] + -1x + -15 = 14x + 75

Reorder the terms:
50 + -15 + 25x + -1x = 14x + 75

Combine like terms: 50 + -15 = 35
35 + 25x + -1x = 14x + 75

Combine like terms: 25x + -1x = 24x
35 + 24x = 14x + 75

Reorder the terms:
35 + 24x = 75 + 14x

Solving
35 + 24x = 75 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
35 + 24x + -14x = 75 + 14x + -14x

Combine like terms: 24x + -14x = 10x
35 + 10x = 75 + 14x + -14x

Combine like terms: 14x + -14x = 0
35 + 10x = 75 + 0
35 + 10x = 75

Add '-35' to each side of the equation.
35 + -35 + 10x = 75 + -35

Combine like terms: 35 + -35 = 0
0 + 10x = 75 + -35
10x = 75 + -35

Combine like terms: 75 + -35 = 40
10x = 40

Divide each side by '10'.
x = 4

Simplifying
x = 4

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