5[3(x+4)-2(1-x)]-x-35=14x+65

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Solution for 5[3(x+4)-2(1-x)]-x-35=14x+65 equation: 


Simplifying
5[3(x + 4) + -2(1 + -1x)] + -1x + -35 = 14x + 65

Reorder the terms:
5[3(4 + x) + -2(1 + -1x)] + -1x + -35 = 14x + 65
5[(4 * 3 + x * 3) + -2(1 + -1x)] + -1x + -35 = 14x + 65
5[(12 + 3x) + -2(1 + -1x)] + -1x + -35 = 14x + 65
5[12 + 3x + (1 * -2 + -1x * -2)] + -1x + -35 = 14x + 65
5[12 + 3x + (-2 + 2x)] + -1x + -35 = 14x + 65

Reorder the terms:
5[12 + -2 + 3x + 2x] + -1x + -35 = 14x + 65

Combine like terms: 12 + -2 = 10
5[10 + 3x + 2x] + -1x + -35 = 14x + 65

Combine like terms: 3x + 2x = 5x
5[10 + 5x] + -1x + -35 = 14x + 65
[10 * 5 + 5x * 5] + -1x + -35 = 14x + 65
[50 + 25x] + -1x + -35 = 14x + 65

Reorder the terms:
50 + -35 + 25x + -1x = 14x + 65

Combine like terms: 50 + -35 = 15
15 + 25x + -1x = 14x + 65

Combine like terms: 25x + -1x = 24x
15 + 24x = 14x + 65

Reorder the terms:
15 + 24x = 65 + 14x

Solving
15 + 24x = 65 + 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.
15 + 24x + -14x = 65 + 14x + -14x

Combine like terms: 24x + -14x = 10x
15 + 10x = 65 + 14x + -14x

Combine like terms: 14x + -14x = 0
15 + 10x = 65 + 0
15 + 10x = 65

Add '-15' to each side of the equation.
15 + -15 + 10x = 65 + -15

Combine like terms: 15 + -15 = 0
0 + 10x = 65 + -15
10x = 65 + -15

Combine like terms: 65 + -15 = 50
10x = 50

Divide each side by '10'.
x = 5

Simplifying
x = 5

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