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

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


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

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

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

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

Combine like terms: 3 + -5 = -2
-2 + 4x = 5(x + 4)

Reorder the terms:
-2 + 4x = 5(4 + x)
-2 + 4x = (4 * 5 + x * 5)
-2 + 4x = (20 + 5x)

Solving
-2 + 4x = 20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-2 + 4x + -5x = 20 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-2 + -1x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + -1x = 20 + 0
-2 + -1x = 20

Add '2' to each side of the equation.
-2 + 2 + -1x = 20 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 20 + 2
-1x = 20 + 2

Combine like terms: 20 + 2 = 22
-1x = 22

Divide each side by '-1'.
x = -22

Simplifying
x = -22

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