2-3(7-2(4-x))=2x-1

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Solution for 2-3(7-2(4-x))=2x-1 equation:


Simplifying
2 + -3(7 + -2(4 + -1x)) = 2x + -1
2 + -3(7 + (4 * -2 + -1x * -2)) = 2x + -1
2 + -3(7 + (-8 + 2x)) = 2x + -1

Combine like terms: 7 + -8 = -1
2 + -3(-1 + 2x) = 2x + -1
2 + (-1 * -3 + 2x * -3) = 2x + -1
2 + (3 + -6x) = 2x + -1

Combine like terms: 2 + 3 = 5
5 + -6x = 2x + -1

Reorder the terms:
5 + -6x = -1 + 2x

Solving
5 + -6x = -1 + 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.
5 + -6x + -2x = -1 + 2x + -2x

Combine like terms: -6x + -2x = -8x
5 + -8x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + -8x = -1 + 0
5 + -8x = -1

Add '-5' to each side of the equation.
5 + -5 + -8x = -1 + -5

Combine like terms: 5 + -5 = 0
0 + -8x = -1 + -5
-8x = -1 + -5

Combine like terms: -1 + -5 = -6
-8x = -6

Divide each side by '-8'.
x = 0.75

Simplifying
x = 0.75

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