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

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


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

Reorder the terms:
(4 + 5x) + -5 = 4(x + -7)

Remove parenthesis around (4 + 5x)
4 + 5x + -5 = 4(x + -7)

Reorder the terms:
4 + -5 + 5x = 4(x + -7)

Combine like terms: 4 + -5 = -1
-1 + 5x = 4(x + -7)

Reorder the terms:
-1 + 5x = 4(-7 + x)
-1 + 5x = (-7 * 4 + x * 4)
-1 + 5x = (-28 + 4x)

Solving
-1 + 5x = -28 + 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.
-1 + 5x + -4x = -28 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-1 + 1x = -28 + 4x + -4x

Combine like terms: 4x + -4x = 0
-1 + 1x = -28 + 0
-1 + 1x = -28

Add '1' to each side of the equation.
-1 + 1 + 1x = -28 + 1

Combine like terms: -1 + 1 = 0
0 + 1x = -28 + 1
1x = -28 + 1

Combine like terms: -28 + 1 = -27
1x = -27

Divide each side by '1'.
x = -27

Simplifying
x = -27

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