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

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


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

Reorder the terms:
15[2(4 + x) + -2(1 + -1x)] + -1x + -15 = 14x + 45
15[(4 * 2 + x * 2) + -2(1 + -1x)] + -1x + -15 = 14x + 45
15[(8 + 2x) + -2(1 + -1x)] + -1x + -15 = 14x + 45
15[8 + 2x + (1 * -2 + -1x * -2)] + -1x + -15 = 14x + 45
15[8 + 2x + (-2 + 2x)] + -1x + -15 = 14x + 45

Reorder the terms:
15[8 + -2 + 2x + 2x] + -1x + -15 = 14x + 45

Combine like terms: 8 + -2 = 6
15[6 + 2x + 2x] + -1x + -15 = 14x + 45

Combine like terms: 2x + 2x = 4x
15[6 + 4x] + -1x + -15 = 14x + 45
[6 * 15 + 4x * 15] + -1x + -15 = 14x + 45
[90 + 60x] + -1x + -15 = 14x + 45

Reorder the terms:
90 + -15 + 60x + -1x = 14x + 45

Combine like terms: 90 + -15 = 75
75 + 60x + -1x = 14x + 45

Combine like terms: 60x + -1x = 59x
75 + 59x = 14x + 45

Reorder the terms:
75 + 59x = 45 + 14x

Solving
75 + 59x = 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.
75 + 59x + -14x = 45 + 14x + -14x

Combine like terms: 59x + -14x = 45x
75 + 45x = 45 + 14x + -14x

Combine like terms: 14x + -14x = 0
75 + 45x = 45 + 0
75 + 45x = 45

Add '-75' to each side of the equation.
75 + -75 + 45x = 45 + -75

Combine like terms: 75 + -75 = 0
0 + 45x = 45 + -75
45x = 45 + -75

Combine like terms: 45 + -75 = -30
45x = -30

Divide each side by '45'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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