74-2[(35+2x)-3]=-6

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Solution for 74-2[(35+2x)-3]=-6 equation:


Simplifying
74 + -2[(35 + 2x) + -3] = -6

Remove parenthesis around (35 + 2x)
74 + -2[35 + 2x + -3] = -6

Reorder the terms:
74 + -2[35 + -3 + 2x] = -6

Combine like terms: 35 + -3 = 32
74 + -2[32 + 2x] = -6
74 + [32 * -2 + 2x * -2] = -6
74 + [-64 + -4x] = -6

Combine like terms: 74 + -64 = 10
10 + -4x = -6

Solving
10 + -4x = -6

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + -4x = -6 + -10

Combine like terms: 10 + -10 = 0
0 + -4x = -6 + -10
-4x = -6 + -10

Combine like terms: -6 + -10 = -16
-4x = -16

Divide each side by '-4'.
x = 4

Simplifying
x = 4

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