5x-1[2(x-10)+3]=8

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Solution for 5x-1[2(x-10)+3]=8 equation:


Simplifying
5x + -1[2(x + -10) + 3] = 8

Reorder the terms:
5x + -1[2(-10 + x) + 3] = 8
5x + -1[(-10 * 2 + x * 2) + 3] = 8
5x + -1[(-20 + 2x) + 3] = 8

Reorder the terms:
5x + -1[-20 + 3 + 2x] = 8

Combine like terms: -20 + 3 = -17
5x + -1[-17 + 2x] = 8
5x + [-17 * -1 + 2x * -1] = 8
5x + [17 + -2x] = 8

Reorder the terms:
17 + 5x + -2x = 8

Combine like terms: 5x + -2x = 3x
17 + 3x = 8

Solving
17 + 3x = 8

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + 3x = 8 + -17

Combine like terms: 17 + -17 = 0
0 + 3x = 8 + -17
3x = 8 + -17

Combine like terms: 8 + -17 = -9
3x = -9

Divide each side by '3'.
x = -3

Simplifying
x = -3

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