15+7(3-2x)=5-10(2x-3)+12-9x-15

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Solution for 15+7(3-2x)=5-10(2x-3)+12-9x-15 equation: 


Simplifying
15 + 7(3 + -2x) = 5 + -10(2x + -3) + 12 + -9x + -15
15 + (3 * 7 + -2x * 7) = 5 + -10(2x + -3) + 12 + -9x + -15
15 + (21 + -14x) = 5 + -10(2x + -3) + 12 + -9x + -15

Combine like terms: 15 + 21 = 36
36 + -14x = 5 + -10(2x + -3) + 12 + -9x + -15

Reorder the terms:
36 + -14x = 5 + -10(-3 + 2x) + 12 + -9x + -15
36 + -14x = 5 + (-3 * -10 + 2x * -10) + 12 + -9x + -15
36 + -14x = 5 + (30 + -20x) + 12 + -9x + -15

Reorder the terms:
36 + -14x = 5 + 30 + 12 + -15 + -20x + -9x

Combine like terms: 5 + 30 = 35
36 + -14x = 35 + 12 + -15 + -20x + -9x

Combine like terms: 35 + 12 = 47
36 + -14x = 47 + -15 + -20x + -9x

Combine like terms: 47 + -15 = 32
36 + -14x = 32 + -20x + -9x

Combine like terms: -20x + -9x = -29x
36 + -14x = 32 + -29x

Solving
36 + -14x = 32 + -29x

Solving for variable 'x'.

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

Add '29x' to each side of the equation.
36 + -14x + 29x = 32 + -29x + 29x

Combine like terms: -14x + 29x = 15x
36 + 15x = 32 + -29x + 29x

Combine like terms: -29x + 29x = 0
36 + 15x = 32 + 0
36 + 15x = 32

Add '-36' to each side of the equation.
36 + -36 + 15x = 32 + -36

Combine like terms: 36 + -36 = 0
0 + 15x = 32 + -36
15x = 32 + -36

Combine like terms: 32 + -36 = -4
15x = -4

Divide each side by '15'.
x = -0.2666666667

Simplifying
x = -0.2666666667

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