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

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


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

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

Combine like terms: 5 + 2 = 7
7 + -1x = 4x + -9

Reorder the terms:
7 + -1x = -9 + 4x

Solving
7 + -1x = -9 + 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.
7 + -1x + -4x = -9 + 4x + -4x

Combine like terms: -1x + -4x = -5x
7 + -5x = -9 + 4x + -4x

Combine like terms: 4x + -4x = 0
7 + -5x = -9 + 0
7 + -5x = -9

Add '-7' to each side of the equation.
7 + -7 + -5x = -9 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = -9 + -7
-5x = -9 + -7

Combine like terms: -9 + -7 = -16
-5x = -16

Divide each side by '-5'.
x = 3.2

Simplifying
x = 3.2

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