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

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


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

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

Reorder the terms:
1 + 2x = 16 + -3(-3 + 2x)
1 + 2x = 16 + (-3 * -3 + 2x * -3)
1 + 2x = 16 + (9 + -6x)

Combine like terms: 16 + 9 = 25
1 + 2x = 25 + -6x

Solving
1 + 2x = 25 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
1 + 2x + 6x = 25 + -6x + 6x

Combine like terms: 2x + 6x = 8x
1 + 8x = 25 + -6x + 6x

Combine like terms: -6x + 6x = 0
1 + 8x = 25 + 0
1 + 8x = 25

Add '-1' to each side of the equation.
1 + -1 + 8x = 25 + -1

Combine like terms: 1 + -1 = 0
0 + 8x = 25 + -1
8x = 25 + -1

Combine like terms: 25 + -1 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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