3(3x-10)-2x(x+4)-2(3x-13)+5(x+6)=54

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Solution for 3(3x-10)-2x(x+4)-2(3x-13)+5(x+6)=54 equation: 


Simplifying
3(3x + -10) + -2x(x + 4) + -2(3x + -13) + 5(x + 6) = 54

Reorder the terms:
3(-10 + 3x) + -2x(x + 4) + -2(3x + -13) + 5(x + 6) = 54
(-10 * 3 + 3x * 3) + -2x(x + 4) + -2(3x + -13) + 5(x + 6) = 54
(-30 + 9x) + -2x(x + 4) + -2(3x + -13) + 5(x + 6) = 54

Reorder the terms:
-30 + 9x + -2x(4 + x) + -2(3x + -13) + 5(x + 6) = 54
-30 + 9x + (4 * -2x + x * -2x) + -2(3x + -13) + 5(x + 6) = 54
-30 + 9x + (-8x + -2x2) + -2(3x + -13) + 5(x + 6) = 54

Reorder the terms:
-30 + 9x + -8x + -2x2 + -2(-13 + 3x) + 5(x + 6) = 54
-30 + 9x + -8x + -2x2 + (-13 * -2 + 3x * -2) + 5(x + 6) = 54
-30 + 9x + -8x + -2x2 + (26 + -6x) + 5(x + 6) = 54

Reorder the terms:
-30 + 9x + -8x + -2x2 + 26 + -6x + 5(6 + x) = 54
-30 + 9x + -8x + -2x2 + 26 + -6x + (6 * 5 + x * 5) = 54
-30 + 9x + -8x + -2x2 + 26 + -6x + (30 + 5x) = 54

Reorder the terms:
-30 + 26 + 30 + 9x + -8x + -6x + 5x + -2x2 = 54

Combine like terms: -30 + 26 = -4
-4 + 30 + 9x + -8x + -6x + 5x + -2x2 = 54

Combine like terms: -4 + 30 = 26
26 + 9x + -8x + -6x + 5x + -2x2 = 54

Combine like terms: 9x + -8x = 1x
26 + 1x + -6x + 5x + -2x2 = 54

Combine like terms: 1x + -6x = -5x
26 + -5x + 5x + -2x2 = 54

Combine like terms: -5x + 5x = 0
26 + 0 + -2x2 = 54
26 + -2x2 = 54

Solving
26 + -2x2 = 54

Solving for variable 'x'.

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

Add '-26' to each side of the equation.
26 + -26 + -2x2 = 54 + -26

Combine like terms: 26 + -26 = 0
0 + -2x2 = 54 + -26
-2x2 = 54 + -26

Combine like terms: 54 + -26 = 28
-2x2 = 28

Divide each side by '-2'.
x2 = -14

Simplifying
x2 = -14

Reorder the terms:
14 + x2 = -14 + 14

Combine like terms: -14 + 14 = 0
14 + x2 = 0

The solution to this equation could not be determined.

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