50-[3(2x-3)-2(2x-1)]=23

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Solution for 50-[3(2x-3)-2(2x-1)]=23 equation: 


Simplifying
50 + -1[3(2x + -3) + -2(2x + -1)] = 23

Reorder the terms:
50 + -1[3(-3 + 2x) + -2(2x + -1)] = 23
50 + -1[(-3 * 3 + 2x * 3) + -2(2x + -1)] = 23
50 + -1[(-9 + 6x) + -2(2x + -1)] = 23

Reorder the terms:
50 + -1[-9 + 6x + -2(-1 + 2x)] = 23
50 + -1[-9 + 6x + (-1 * -2 + 2x * -2)] = 23
50 + -1[-9 + 6x + (2 + -4x)] = 23

Reorder the terms:
50 + -1[-9 + 2 + 6x + -4x] = 23

Combine like terms: -9 + 2 = -7
50 + -1[-7 + 6x + -4x] = 23

Combine like terms: 6x + -4x = 2x
50 + -1[-7 + 2x] = 23
50 + [-7 * -1 + 2x * -1] = 23
50 + [7 + -2x] = 23

Combine like terms: 50 + 7 = 57
57 + -2x = 23

Solving
57 + -2x = 23

Solving for variable 'x'.

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

Add '-57' to each side of the equation.
57 + -57 + -2x = 23 + -57

Combine like terms: 57 + -57 = 0
0 + -2x = 23 + -57
-2x = 23 + -57

Combine like terms: 23 + -57 = -34
-2x = -34

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

Simplifying
x = 17

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