6+9x+42+8x=3(2x+6)-2

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Solution for 6+9x+42+8x=3(2x+6)-2 equation:


Simplifying
6 + 9x + 42 + 8x = 3(2x + 6) + -2

Reorder the terms:
6 + 42 + 9x + 8x = 3(2x + 6) + -2

Combine like terms: 6 + 42 = 48
48 + 9x + 8x = 3(2x + 6) + -2

Combine like terms: 9x + 8x = 17x
48 + 17x = 3(2x + 6) + -2

Reorder the terms:
48 + 17x = 3(6 + 2x) + -2
48 + 17x = (6 * 3 + 2x * 3) + -2
48 + 17x = (18 + 6x) + -2

Reorder the terms:
48 + 17x = 18 + -2 + 6x

Combine like terms: 18 + -2 = 16
48 + 17x = 16 + 6x

Solving
48 + 17x = 16 + 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.
48 + 17x + -6x = 16 + 6x + -6x

Combine like terms: 17x + -6x = 11x
48 + 11x = 16 + 6x + -6x

Combine like terms: 6x + -6x = 0
48 + 11x = 16 + 0
48 + 11x = 16

Add '-48' to each side of the equation.
48 + -48 + 11x = 16 + -48

Combine like terms: 48 + -48 = 0
0 + 11x = 16 + -48
11x = 16 + -48

Combine like terms: 16 + -48 = -32
11x = -32

Divide each side by '11'.
x = -2.909090909

Simplifying
x = -2.909090909

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