(-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 = 29
-1x = 29

Divide each side by '-1'.
x = -29

Simplifying
x = -29

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