5+3(x-7)=(4x-28)+5

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Solution for 5+3(x-7)=(4x-28)+5 equation: 


Simplifying
5 + 3(x + -7) = (4x + -28) + 5

Reorder the terms:
5 + 3(-7 + x) = (4x + -28) + 5
5 + (-7 * 3 + x * 3) = (4x + -28) + 5
5 + (-21 + 3x) = (4x + -28) + 5

Combine like terms: 5 + -21 = -16
-16 + 3x = (4x + -28) + 5

Reorder the terms:
-16 + 3x = (-28 + 4x) + 5

Remove parenthesis around (-28 + 4x)
-16 + 3x = -28 + 4x + 5

Reorder the terms:
-16 + 3x = -28 + 5 + 4x

Combine like terms: -28 + 5 = -23
-16 + 3x = -23 + 4x

Solving
-16 + 3x = -23 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-16 + 3x + -4x = -23 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-16 + -1x = -23 + 4x + -4x

Combine like terms: 4x + -4x = 0
-16 + -1x = -23 + 0
-16 + -1x = -23

Add '16' to each side of the equation.
-16 + 16 + -1x = -23 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = -23 + 16
-1x = -23 + 16

Combine like terms: -23 + 16 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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