9x-2=4(2x+4)-14

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Solution for 9x-2=4(2x+4)-14 equation:


Simplifying
9x + -2 = 4(2x + 4) + -14

Reorder the terms:
-2 + 9x = 4(2x + 4) + -14

Reorder the terms:
-2 + 9x = 4(4 + 2x) + -14
-2 + 9x = (4 * 4 + 2x * 4) + -14
-2 + 9x = (16 + 8x) + -14

Reorder the terms:
-2 + 9x = 16 + -14 + 8x

Combine like terms: 16 + -14 = 2
-2 + 9x = 2 + 8x

Solving
-2 + 9x = 2 + 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 + 9x + -8x = 2 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
-2 + 1x = 2 + 0
-2 + 1x = 2

Add '2' to each side of the equation.
-2 + 2 + 1x = 2 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = 2 + 2
1x = 2 + 2

Combine like terms: 2 + 2 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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