5x-2[10-(4-x)]=1

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Solution for 5x-2[10-(4-x)]=1 equation:


Simplifying
5x + -2[10 + -1(4 + -1x)] = 1
5x + -2[10 + (4 * -1 + -1x * -1)] = 1
5x + -2[10 + (-4 + 1x)] = 1

Combine like terms: 10 + -4 = 6
5x + -2[6 + 1x] = 1
5x + [6 * -2 + 1x * -2] = 1
5x + [-12 + -2x] = 1

Reorder the terms:
-12 + 5x + -2x = 1

Combine like terms: 5x + -2x = 3x
-12 + 3x = 1

Solving
-12 + 3x = 1

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 3x = 1 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = 1 + 12
3x = 1 + 12

Combine like terms: 1 + 12 = 13
3x = 13

Divide each side by '3'.
x = 4.333333333

Simplifying
x = 4.333333333

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