(4x+5)=3(x+8)+3

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Solution for (4x+5)=3(x+8)+3 equation:


Simplifying
(4x + 5) = 3(x + 8) + 3

Reorder the terms:
(5 + 4x) = 3(x + 8) + 3

Remove parenthesis around (5 + 4x)
5 + 4x = 3(x + 8) + 3

Reorder the terms:
5 + 4x = 3(8 + x) + 3
5 + 4x = (8 * 3 + x * 3) + 3
5 + 4x = (24 + 3x) + 3

Reorder the terms:
5 + 4x = 24 + 3 + 3x

Combine like terms: 24 + 3 = 27
5 + 4x = 27 + 3x

Solving
5 + 4x = 27 + 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.
5 + 4x + -3x = 27 + 3x + -3x

Combine like terms: 4x + -3x = 1x
5 + 1x = 27 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + 1x = 27 + 0
5 + 1x = 27

Add '-5' to each side of the equation.
5 + -5 + 1x = 27 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = 27 + -5
1x = 27 + -5

Combine like terms: 27 + -5 = 22
1x = 22

Divide each side by '1'.
x = 22

Simplifying
x = 22

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