15(x-2)+2(5x-8)-3(11x+1)+73=0

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Solution for 15(x-2)+2(5x-8)-3(11x+1)+73=0 equation:


Simplifying
15(x + -2) + 2(5x + -8) + -3(11x + 1) + 73 = 0

Reorder the terms:
15(-2 + x) + 2(5x + -8) + -3(11x + 1) + 73 = 0
(-2 * 15 + x * 15) + 2(5x + -8) + -3(11x + 1) + 73 = 0
(-30 + 15x) + 2(5x + -8) + -3(11x + 1) + 73 = 0

Reorder the terms:
-30 + 15x + 2(-8 + 5x) + -3(11x + 1) + 73 = 0
-30 + 15x + (-8 * 2 + 5x * 2) + -3(11x + 1) + 73 = 0
-30 + 15x + (-16 + 10x) + -3(11x + 1) + 73 = 0

Reorder the terms:
-30 + 15x + -16 + 10x + -3(1 + 11x) + 73 = 0
-30 + 15x + -16 + 10x + (1 * -3 + 11x * -3) + 73 = 0
-30 + 15x + -16 + 10x + (-3 + -33x) + 73 = 0

Reorder the terms:
-30 + -16 + -3 + 73 + 15x + 10x + -33x = 0

Combine like terms: -30 + -16 = -46
-46 + -3 + 73 + 15x + 10x + -33x = 0

Combine like terms: -46 + -3 = -49
-49 + 73 + 15x + 10x + -33x = 0

Combine like terms: -49 + 73 = 24
24 + 15x + 10x + -33x = 0

Combine like terms: 15x + 10x = 25x
24 + 25x + -33x = 0

Combine like terms: 25x + -33x = -8x
24 + -8x = 0

Solving
24 + -8x = 0

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + -8x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -8x = 0 + -24
-8x = 0 + -24

Combine like terms: 0 + -24 = -24
-8x = -24

Divide each side by '-8'.
x = 3

Simplifying
x = 3

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