4[2x-(x+5)]=6(x-9)

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


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

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

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

Combine like terms: 2x + -1x = 1x
4[-5 + 1x] = 6(x + -9)
[-5 * 4 + 1x * 4] = 6(x + -9)
[-20 + 4x] = 6(x + -9)

Reorder the terms:
-20 + 4x = 6(-9 + x)
-20 + 4x = (-9 * 6 + x * 6)
-20 + 4x = (-54 + 6x)

Solving
-20 + 4x = -54 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-20 + 4x + -6x = -54 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-20 + -2x = -54 + 6x + -6x

Combine like terms: 6x + -6x = 0
-20 + -2x = -54 + 0
-20 + -2x = -54

Add '20' to each side of the equation.
-20 + 20 + -2x = -54 + 20

Combine like terms: -20 + 20 = 0
0 + -2x = -54 + 20
-2x = -54 + 20

Combine like terms: -54 + 20 = -34
-2x = -34

Divide each side by '-2'.
x = 17

Simplifying
x = 17

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