73=3[2x+5]-2[x-5]

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Solution for 73=3[2x+5]-2[x-5] equation:


Simplifying
73 = 3[2x + 5] + -2[x + -5]

Reorder the terms:
73 = 3[5 + 2x] + -2[x + -5]
73 = [5 * 3 + 2x * 3] + -2[x + -5]
73 = [15 + 6x] + -2[x + -5]

Reorder the terms:
73 = 15 + 6x + -2[-5 + x]
73 = 15 + 6x + [-5 * -2 + x * -2]
73 = 15 + 6x + [10 + -2x]

Reorder the terms:
73 = 15 + 10 + 6x + -2x

Combine like terms: 15 + 10 = 25
73 = 25 + 6x + -2x

Combine like terms: 6x + -2x = 4x
73 = 25 + 4x

Solving
73 = 25 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
73 + -4x = 25 + 4x + -4x

Combine like terms: 4x + -4x = 0
73 + -4x = 25 + 0
73 + -4x = 25

Add '-73' to each side of the equation.
73 + -73 + -4x = 25 + -73

Combine like terms: 73 + -73 = 0
0 + -4x = 25 + -73
-4x = 25 + -73

Combine like terms: 25 + -73 = -48
-4x = -48

Divide each side by '-4'.
x = 12

Simplifying
x = 12

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