6(2x+3)+-20=3(3x+-5)+-1x

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Solution for 6(2x+3)+-20=3(3x+-5)+-1x equation:


Simplifying
6(2x + 3) + -20 = 3(3x + -5) + -1x

Reorder the terms:
6(3 + 2x) + -20 = 3(3x + -5) + -1x
(3 * 6 + 2x * 6) + -20 = 3(3x + -5) + -1x
(18 + 12x) + -20 = 3(3x + -5) + -1x

Reorder the terms:
18 + -20 + 12x = 3(3x + -5) + -1x

Combine like terms: 18 + -20 = -2
-2 + 12x = 3(3x + -5) + -1x

Reorder the terms:
-2 + 12x = 3(-5 + 3x) + -1x
-2 + 12x = (-5 * 3 + 3x * 3) + -1x
-2 + 12x = (-15 + 9x) + -1x

Combine like terms: 9x + -1x = 8x
-2 + 12x = -15 + 8x

Solving
-2 + 12x = -15 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-2 + 12x + -8x = -15 + 8x + -8x

Combine like terms: 12x + -8x = 4x
-2 + 4x = -15 + 8x + -8x

Combine like terms: 8x + -8x = 0
-2 + 4x = -15 + 0
-2 + 4x = -15

Add '2' to each side of the equation.
-2 + 2 + 4x = -15 + 2

Combine like terms: -2 + 2 = 0
0 + 4x = -15 + 2
4x = -15 + 2

Combine like terms: -15 + 2 = -13
4x = -13

Divide each side by '4'.
x = -3.25

Simplifying
x = -3.25

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