6+3(x-2)=16(3-x)

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Solution for 6+3(x-2)=16(3-x) equation:


Simplifying
6 + 3(x + -2) = 16(3 + -1x)

Reorder the terms:
6 + 3(-2 + x) = 16(3 + -1x)
6 + (-2 * 3 + x * 3) = 16(3 + -1x)
6 + (-6 + 3x) = 16(3 + -1x)

Combine like terms: 6 + -6 = 0
0 + 3x = 16(3 + -1x)
3x = 16(3 + -1x)
3x = (3 * 16 + -1x * 16)
3x = (48 + -16x)

Solving
3x = 48 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
3x + 16x = 48 + -16x + 16x

Combine like terms: 3x + 16x = 19x
19x = 48 + -16x + 16x

Combine like terms: -16x + 16x = 0
19x = 48 + 0
19x = 48

Divide each side by '19'.
x = 2.526315789

Simplifying
x = 2.526315789

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