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

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


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

Reorder the terms:
5 + -4(-2 + x) = 2x + 9
5 + (-2 * -4 + x * -4) = 2x + 9
5 + (8 + -4x) = 2x + 9

Combine like terms: 5 + 8 = 13
13 + -4x = 2x + 9

Reorder the terms:
13 + -4x = 9 + 2x

Solving
13 + -4x = 9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
13 + -4x + -2x = 9 + 2x + -2x

Combine like terms: -4x + -2x = -6x
13 + -6x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
13 + -6x = 9 + 0
13 + -6x = 9

Add '-13' to each side of the equation.
13 + -13 + -6x = 9 + -13

Combine like terms: 13 + -13 = 0
0 + -6x = 9 + -13
-6x = 9 + -13

Combine like terms: 9 + -13 = -4
-6x = -4

Divide each side by '-6'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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