7x-(4x-5)=2x-4(6x+9)

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Solution for 7x-(4x-5)=2x-4(6x+9) equation:


Simplifying
7x + -1(4x + -5) = 2x + -4(6x + 9)

Reorder the terms:
7x + -1(-5 + 4x) = 2x + -4(6x + 9)
7x + (-5 * -1 + 4x * -1) = 2x + -4(6x + 9)
7x + (5 + -4x) = 2x + -4(6x + 9)

Reorder the terms:
5 + 7x + -4x = 2x + -4(6x + 9)

Combine like terms: 7x + -4x = 3x
5 + 3x = 2x + -4(6x + 9)

Reorder the terms:
5 + 3x = 2x + -4(9 + 6x)
5 + 3x = 2x + (9 * -4 + 6x * -4)
5 + 3x = 2x + (-36 + -24x)

Reorder the terms:
5 + 3x = -36 + 2x + -24x

Combine like terms: 2x + -24x = -22x
5 + 3x = -36 + -22x

Solving
5 + 3x = -36 + -22x

Solving for variable 'x'.

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

Add '22x' to each side of the equation.
5 + 3x + 22x = -36 + -22x + 22x

Combine like terms: 3x + 22x = 25x
5 + 25x = -36 + -22x + 22x

Combine like terms: -22x + 22x = 0
5 + 25x = -36 + 0
5 + 25x = -36

Add '-5' to each side of the equation.
5 + -5 + 25x = -36 + -5

Combine like terms: 5 + -5 = 0
0 + 25x = -36 + -5
25x = -36 + -5

Combine like terms: -36 + -5 = -41
25x = -41

Divide each side by '25'.
x = -1.64

Simplifying
x = -1.64

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