14+4x-2=-9(2-x)+5x

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Solution for 14+4x-2=-9(2-x)+5x equation:


Simplifying
14 + 4x + -2 = -9(2 + -1x) + 5x

Reorder the terms:
14 + -2 + 4x = -9(2 + -1x) + 5x

Combine like terms: 14 + -2 = 12
12 + 4x = -9(2 + -1x) + 5x
12 + 4x = (2 * -9 + -1x * -9) + 5x
12 + 4x = (-18 + 9x) + 5x

Combine like terms: 9x + 5x = 14x
12 + 4x = -18 + 14x

Solving
12 + 4x = -18 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
12 + 4x + -14x = -18 + 14x + -14x

Combine like terms: 4x + -14x = -10x
12 + -10x = -18 + 14x + -14x

Combine like terms: 14x + -14x = 0
12 + -10x = -18 + 0
12 + -10x = -18

Add '-12' to each side of the equation.
12 + -12 + -10x = -18 + -12

Combine like terms: 12 + -12 = 0
0 + -10x = -18 + -12
-10x = -18 + -12

Combine like terms: -18 + -12 = -30
-10x = -30

Divide each side by '-10'.
x = 3

Simplifying
x = 3

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