4x+5-2(2x-3)=16-3x

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Solution for 4x+5-2(2x-3)=16-3x equation:


Simplifying
4x + 5 + -2(2x + -3) = 16 + -3x

Reorder the terms:
4x + 5 + -2(-3 + 2x) = 16 + -3x
4x + 5 + (-3 * -2 + 2x * -2) = 16 + -3x
4x + 5 + (6 + -4x) = 16 + -3x

Reorder the terms:
5 + 6 + 4x + -4x = 16 + -3x

Combine like terms: 5 + 6 = 11
11 + 4x + -4x = 16 + -3x

Combine like terms: 4x + -4x = 0
11 + 0 = 16 + -3x
11 = 16 + -3x

Solving
11 = 16 + -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.
11 + 3x = 16 + -3x + 3x

Combine like terms: -3x + 3x = 0
11 + 3x = 16 + 0
11 + 3x = 16

Add '-11' to each side of the equation.
11 + -11 + 3x = 16 + -11

Combine like terms: 11 + -11 = 0
0 + 3x = 16 + -11
3x = 16 + -11

Combine like terms: 16 + -11 = 5
3x = 5

Divide each side by '3'.
x = 1.666666667

Simplifying
x = 1.666666667

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