49-(3x+16)=3(x+4)+6

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Solution for 49-(3x+16)=3(x+4)+6 equation: 


Simplifying
49 + -1(3x + 16) = 3(x + 4) + 6

Reorder the terms:
49 + -1(16 + 3x) = 3(x + 4) + 6
49 + (16 * -1 + 3x * -1) = 3(x + 4) + 6
49 + (-16 + -3x) = 3(x + 4) + 6

Combine like terms: 49 + -16 = 33
33 + -3x = 3(x + 4) + 6

Reorder the terms:
33 + -3x = 3(4 + x) + 6
33 + -3x = (4 * 3 + x * 3) + 6
33 + -3x = (12 + 3x) + 6

Reorder the terms:
33 + -3x = 12 + 6 + 3x

Combine like terms: 12 + 6 = 18
33 + -3x = 18 + 3x

Solving
33 + -3x = 18 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
33 + -3x + -3x = 18 + 3x + -3x

Combine like terms: -3x + -3x = -6x
33 + -6x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
33 + -6x = 18 + 0
33 + -6x = 18

Add '-33' to each side of the equation.
33 + -33 + -6x = 18 + -33

Combine like terms: 33 + -33 = 0
0 + -6x = 18 + -33
-6x = 18 + -33

Combine like terms: 18 + -33 = -15
-6x = -15

Divide each side by '-6'.
x = 2.5

Simplifying
x = 2.5

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