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

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


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

Reorder the terms:
5(-2 + x) + 14 = x + 9 + -2x
(-2 * 5 + x * 5) + 14 = x + 9 + -2x
(-10 + 5x) + 14 = x + 9 + -2x

Reorder the terms:
-10 + 14 + 5x = x + 9 + -2x

Combine like terms: -10 + 14 = 4
4 + 5x = x + 9 + -2x

Reorder the terms:
4 + 5x = 9 + x + -2x

Combine like terms: x + -2x = -1x
4 + 5x = 9 + -1x

Solving
4 + 5x = 9 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
4 + 5x + x = 9 + -1x + x

Combine like terms: 5x + x = 6x
4 + 6x = 9 + -1x + x

Combine like terms: -1x + x = 0
4 + 6x = 9 + 0
4 + 6x = 9

Add '-4' to each side of the equation.
4 + -4 + 6x = 9 + -4

Combine like terms: 4 + -4 = 0
0 + 6x = 9 + -4
6x = 9 + -4

Combine like terms: 9 + -4 = 5
6x = 5

Divide each side by '6'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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