5[3(x+4)-2(1-x)]-x-x-15=14x+45

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Solution for 5[3(x+4)-2(1-x)]-x-x-15=14x+45 equation: 


Simplifying
5[3(x + 4) + -2(1 + -1x)] + -1x + -1x + -15 = 14x + 45

Reorder the terms:
5[3(4 + x) + -2(1 + -1x)] + -1x + -1x + -15 = 14x + 45
5[(4 * 3 + x * 3) + -2(1 + -1x)] + -1x + -1x + -15 = 14x + 45
5[(12 + 3x) + -2(1 + -1x)] + -1x + -1x + -15 = 14x + 45
5[12 + 3x + (1 * -2 + -1x * -2)] + -1x + -1x + -15 = 14x + 45
5[12 + 3x + (-2 + 2x)] + -1x + -1x + -15 = 14x + 45

Reorder the terms:
5[12 + -2 + 3x + 2x] + -1x + -1x + -15 = 14x + 45

Combine like terms: 12 + -2 = 10
5[10 + 3x + 2x] + -1x + -1x + -15 = 14x + 45

Combine like terms: 3x + 2x = 5x
5[10 + 5x] + -1x + -1x + -15 = 14x + 45
[10 * 5 + 5x * 5] + -1x + -1x + -15 = 14x + 45
[50 + 25x] + -1x + -1x + -15 = 14x + 45

Reorder the terms:
50 + -15 + 25x + -1x + -1x = 14x + 45

Combine like terms: 50 + -15 = 35
35 + 25x + -1x + -1x = 14x + 45

Combine like terms: 25x + -1x = 24x
35 + 24x + -1x = 14x + 45

Combine like terms: 24x + -1x = 23x
35 + 23x = 14x + 45

Reorder the terms:
35 + 23x = 45 + 14x

Solving
35 + 23x = 45 + 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 + 23x + -14x = 45 + 14x + -14x

Combine like terms: 23x + -14x = 9x
35 + 9x = 45 + 14x + -14x

Combine like terms: 14x + -14x = 0
35 + 9x = 45 + 0
35 + 9x = 45

Add '-35' to each side of the equation.
35 + -35 + 9x = 45 + -35

Combine like terms: 35 + -35 = 0
0 + 9x = 45 + -35
9x = 45 + -35

Combine like terms: 45 + -35 = 10
9x = 10

Divide each side by '9'.
x = 1.111111111

Simplifying
x = 1.111111111

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