(-5x-4)+6=-4(x-7)

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Solution for (-5x-4)+6=-4(x-7) equation:


Simplifying
(-5x + -4) + 6 = -4(x + -7)

Reorder the terms:
(-4 + -5x) + 6 = -4(x + -7)

Remove parenthesis around (-4 + -5x)
-4 + -5x + 6 = -4(x + -7)

Reorder the terms:
-4 + 6 + -5x = -4(x + -7)

Combine like terms: -4 + 6 = 2
2 + -5x = -4(x + -7)

Reorder the terms:
2 + -5x = -4(-7 + x)
2 + -5x = (-7 * -4 + x * -4)
2 + -5x = (28 + -4x)

Solving
2 + -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.
2 + -5x + 4x = 28 + -4x + 4x

Combine like terms: -5x + 4x = -1x
2 + -1x = 28 + -4x + 4x

Combine like terms: -4x + 4x = 0
2 + -1x = 28 + 0
2 + -1x = 28

Add '-2' to each side of the equation.
2 + -2 + -1x = 28 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 28 + -2
-1x = 28 + -2

Combine like terms: 28 + -2 = 26
-1x = 26

Divide each side by '-1'.
x = -26

Simplifying
x = -26

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