2(12x+3)-(2-3x)=5-(x-10)

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


Simplifying
2(12x + 3) + -1(2 + -3x) = 5 + -1(x + -10)

Reorder the terms:
2(3 + 12x) + -1(2 + -3x) = 5 + -1(x + -10)
(3 * 2 + 12x * 2) + -1(2 + -3x) = 5 + -1(x + -10)
(6 + 24x) + -1(2 + -3x) = 5 + -1(x + -10)
6 + 24x + (2 * -1 + -3x * -1) = 5 + -1(x + -10)
6 + 24x + (-2 + 3x) = 5 + -1(x + -10)

Reorder the terms:
6 + -2 + 24x + 3x = 5 + -1(x + -10)

Combine like terms: 6 + -2 = 4
4 + 24x + 3x = 5 + -1(x + -10)

Combine like terms: 24x + 3x = 27x
4 + 27x = 5 + -1(x + -10)

Reorder the terms:
4 + 27x = 5 + -1(-10 + x)
4 + 27x = 5 + (-10 * -1 + x * -1)
4 + 27x = 5 + (10 + -1x)

Combine like terms: 5 + 10 = 15
4 + 27x = 15 + -1x

Solving
4 + 27x = 15 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
4 + 27x + x = 15 + -1x + x

Combine like terms: 27x + x = 28x
4 + 28x = 15 + -1x + x

Combine like terms: -1x + x = 0
4 + 28x = 15 + 0
4 + 28x = 15

Add '-4' to each side of the equation.
4 + -4 + 28x = 15 + -4

Combine like terms: 4 + -4 = 0
0 + 28x = 15 + -4
28x = 15 + -4

Combine like terms: 15 + -4 = 11
28x = 11

Divide each side by '28'.
x = 0.3928571429

Simplifying
x = 0.3928571429

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