5(3x+6)-(x+4)=2x-9(3x+4)-10

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Solution for 5(3x+6)-(x+4)=2x-9(3x+4)-10 equation:


Simplifying
5(3x + 6) + -1(x + 4) = 2x + -9(3x + 4) + -10

Reorder the terms:
5(6 + 3x) + -1(x + 4) = 2x + -9(3x + 4) + -10
(6 * 5 + 3x * 5) + -1(x + 4) = 2x + -9(3x + 4) + -10
(30 + 15x) + -1(x + 4) = 2x + -9(3x + 4) + -10

Reorder the terms:
30 + 15x + -1(4 + x) = 2x + -9(3x + 4) + -10
30 + 15x + (4 * -1 + x * -1) = 2x + -9(3x + 4) + -10
30 + 15x + (-4 + -1x) = 2x + -9(3x + 4) + -10

Reorder the terms:
30 + -4 + 15x + -1x = 2x + -9(3x + 4) + -10

Combine like terms: 30 + -4 = 26
26 + 15x + -1x = 2x + -9(3x + 4) + -10

Combine like terms: 15x + -1x = 14x
26 + 14x = 2x + -9(3x + 4) + -10

Reorder the terms:
26 + 14x = 2x + -9(4 + 3x) + -10
26 + 14x = 2x + (4 * -9 + 3x * -9) + -10
26 + 14x = 2x + (-36 + -27x) + -10

Reorder the terms:
26 + 14x = -36 + -10 + 2x + -27x

Combine like terms: -36 + -10 = -46
26 + 14x = -46 + 2x + -27x

Combine like terms: 2x + -27x = -25x
26 + 14x = -46 + -25x

Solving
26 + 14x = -46 + -25x

Solving for variable 'x'.

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

Add '25x' to each side of the equation.
26 + 14x + 25x = -46 + -25x + 25x

Combine like terms: 14x + 25x = 39x
26 + 39x = -46 + -25x + 25x

Combine like terms: -25x + 25x = 0
26 + 39x = -46 + 0
26 + 39x = -46

Add '-26' to each side of the equation.
26 + -26 + 39x = -46 + -26

Combine like terms: 26 + -26 = 0
0 + 39x = -46 + -26
39x = -46 + -26

Combine like terms: -46 + -26 = -72
39x = -72

Divide each side by '39'.
x = -1.846153846

Simplifying
x = -1.846153846

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