=2x-3[x+4(5-2x)]

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Solution for =2x-3[x+4(5-2x)] equation:


Simplifying
0 = 2x + -3[x + 4(5 + -2x)]
0 = 2x + -3[x + (5 * 4 + -2x * 4)]
0 = 2x + -3[x + (20 + -8x)]

Reorder the terms:
0 = 2x + -3[20 + x + -8x]

Combine like terms: x + -8x = -7x
0 = 2x + -3[20 + -7x]
0 = 2x + [20 * -3 + -7x * -3]
0 = 2x + [-60 + 21x]

Reorder the terms:
0 = -60 + 2x + 21x

Combine like terms: 2x + 21x = 23x
0 = -60 + 23x

Solving
0 = -60 + 23x

Solving for variable 'x'.

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

Add '-23x' to each side of the equation.
0 + -23x = -60 + 23x + -23x
Remove the zero:
-23x = -60 + 23x + -23x

Combine like terms: 23x + -23x = 0
-23x = -60 + 0
-23x = -60

Divide each side by '-23'.
x = 2.608695652

Simplifying
x = 2.608695652

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