50=3(x+16)-2(x-2)

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Solution for 50=3(x+16)-2(x-2) equation:


Simplifying
50 = 3(x + 16) + -2(x + -2)

Reorder the terms:
50 = 3(16 + x) + -2(x + -2)
50 = (16 * 3 + x * 3) + -2(x + -2)
50 = (48 + 3x) + -2(x + -2)

Reorder the terms:
50 = 48 + 3x + -2(-2 + x)
50 = 48 + 3x + (-2 * -2 + x * -2)
50 = 48 + 3x + (4 + -2x)

Reorder the terms:
50 = 48 + 4 + 3x + -2x

Combine like terms: 48 + 4 = 52
50 = 52 + 3x + -2x

Combine like terms: 3x + -2x = 1x
50 = 52 + 1x

Solving
50 = 52 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
50 + -1x = 52 + 1x + -1x

Combine like terms: 1x + -1x = 0
50 + -1x = 52 + 0
50 + -1x = 52

Add '-50' to each side of the equation.
50 + -50 + -1x = 52 + -50

Combine like terms: 50 + -50 = 0
0 + -1x = 52 + -50
-1x = 52 + -50

Combine like terms: 52 + -50 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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