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

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


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

Reorder the terms:
3 + 5(4 + x) = (x + -2) + 3
3 + (4 * 5 + x * 5) = (x + -2) + 3
3 + (20 + 5x) = (x + -2) + 3

Combine like terms: 3 + 20 = 23
23 + 5x = (x + -2) + 3

Reorder the terms:
23 + 5x = (-2 + x) + 3

Remove parenthesis around (-2 + x)
23 + 5x = -2 + x + 3

Reorder the terms:
23 + 5x = -2 + 3 + x

Combine like terms: -2 + 3 = 1
23 + 5x = 1 + x

Solving
23 + 5x = 1 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
23 + 5x + -1x = 1 + x + -1x

Combine like terms: 5x + -1x = 4x
23 + 4x = 1 + x + -1x

Combine like terms: x + -1x = 0
23 + 4x = 1 + 0
23 + 4x = 1

Add '-23' to each side of the equation.
23 + -23 + 4x = 1 + -23

Combine like terms: 23 + -23 = 0
0 + 4x = 1 + -23
4x = 1 + -23

Combine like terms: 1 + -23 = -22
4x = -22

Divide each side by '4'.
x = -5.5

Simplifying
x = -5.5

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