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

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Solution for 3(2x+1)+2(x-1)=16 equation:


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

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

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

Reorder the terms:
3 + -2 + 6x + 2x = 16

Combine like terms: 3 + -2 = 1
1 + 6x + 2x = 16

Combine like terms: 6x + 2x = 8x
1 + 8x = 16

Solving
1 + 8x = 16

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 8x = 16 + -1

Combine like terms: 1 + -1 = 0
0 + 8x = 16 + -1
8x = 16 + -1

Combine like terms: 16 + -1 = 15
8x = 15

Divide each side by '8'.
x = 1.875

Simplifying
x = 1.875

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