4x(-4)-5=-7(2x-5)

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Solution for 4x(-4)-5=-7(2x-5) equation:


Simplifying
4x(-4) + -5 = -7(2x + -5)

Reorder the terms for easier multiplication:
4 * -4x + -5 = -7(2x + -5)

Multiply 4 * -4
-16x + -5 = -7(2x + -5)

Reorder the terms:
-5 + -16x = -7(2x + -5)

Reorder the terms:
-5 + -16x = -7(-5 + 2x)
-5 + -16x = (-5 * -7 + 2x * -7)
-5 + -16x = (35 + -14x)

Solving
-5 + -16x = 35 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
-5 + -16x + 14x = 35 + -14x + 14x

Combine like terms: -16x + 14x = -2x
-5 + -2x = 35 + -14x + 14x

Combine like terms: -14x + 14x = 0
-5 + -2x = 35 + 0
-5 + -2x = 35

Add '5' to each side of the equation.
-5 + 5 + -2x = 35 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = 35 + 5
-2x = 35 + 5

Combine like terms: 35 + 5 = 40
-2x = 40

Divide each side by '-2'.
x = -20

Simplifying
x = -20

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