2(x+9)-6=4x-8

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Solution for 2(x+9)-6=4x-8 equation:


Simplifying
2(x + 9) + -6 = 4x + -8

Reorder the terms:
2(9 + x) + -6 = 4x + -8
(9 * 2 + x * 2) + -6 = 4x + -8
(18 + 2x) + -6 = 4x + -8

Reorder the terms:
18 + -6 + 2x = 4x + -8

Combine like terms: 18 + -6 = 12
12 + 2x = 4x + -8

Reorder the terms:
12 + 2x = -8 + 4x

Solving
12 + 2x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
12 + 2x + -4x = -8 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
12 + -2x = -8 + 0
12 + -2x = -8

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

Combine like terms: 12 + -12 = 0
0 + -2x = -8 + -12
-2x = -8 + -12

Combine like terms: -8 + -12 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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