3(2x+9)-2=1-4(3x+2)

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Solution for 3(2x+9)-2=1-4(3x+2) equation:


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

Reorder the terms:
3(9 + 2x) + -2 = 1 + -4(3x + 2)
(9 * 3 + 2x * 3) + -2 = 1 + -4(3x + 2)
(27 + 6x) + -2 = 1 + -4(3x + 2)

Reorder the terms:
27 + -2 + 6x = 1 + -4(3x + 2)

Combine like terms: 27 + -2 = 25
25 + 6x = 1 + -4(3x + 2)

Reorder the terms:
25 + 6x = 1 + -4(2 + 3x)
25 + 6x = 1 + (2 * -4 + 3x * -4)
25 + 6x = 1 + (-8 + -12x)

Combine like terms: 1 + -8 = -7
25 + 6x = -7 + -12x

Solving
25 + 6x = -7 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
25 + 6x + 12x = -7 + -12x + 12x

Combine like terms: 6x + 12x = 18x
25 + 18x = -7 + -12x + 12x

Combine like terms: -12x + 12x = 0
25 + 18x = -7 + 0
25 + 18x = -7

Add '-25' to each side of the equation.
25 + -25 + 18x = -7 + -25

Combine like terms: 25 + -25 = 0
0 + 18x = -7 + -25
18x = -7 + -25

Combine like terms: -7 + -25 = -32
18x = -32

Divide each side by '18'.
x = -1.777777778

Simplifying
x = -1.777777778

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