5x+8+2(6-x)=1-3(2x-3)

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Solution for 5x+8+2(6-x)=1-3(2x-3) equation:


Simplifying
5x + 8 + 2(6 + -1x) = 1 + -3(2x + -3)
5x + 8 + (6 * 2 + -1x * 2) = 1 + -3(2x + -3)
5x + 8 + (12 + -2x) = 1 + -3(2x + -3)

Reorder the terms:
8 + 12 + 5x + -2x = 1 + -3(2x + -3)

Combine like terms: 8 + 12 = 20
20 + 5x + -2x = 1 + -3(2x + -3)

Combine like terms: 5x + -2x = 3x
20 + 3x = 1 + -3(2x + -3)

Reorder the terms:
20 + 3x = 1 + -3(-3 + 2x)
20 + 3x = 1 + (-3 * -3 + 2x * -3)
20 + 3x = 1 + (9 + -6x)

Combine like terms: 1 + 9 = 10
20 + 3x = 10 + -6x

Solving
20 + 3x = 10 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
20 + 3x + 6x = 10 + -6x + 6x

Combine like terms: 3x + 6x = 9x
20 + 9x = 10 + -6x + 6x

Combine like terms: -6x + 6x = 0
20 + 9x = 10 + 0
20 + 9x = 10

Add '-20' to each side of the equation.
20 + -20 + 9x = 10 + -20

Combine like terms: 20 + -20 = 0
0 + 9x = 10 + -20
9x = 10 + -20

Combine like terms: 10 + -20 = -10
9x = -10

Divide each side by '9'.
x = -1.111111111

Simplifying
x = -1.111111111

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