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 = -30x
-5 + -30x = -35 + 14x + -14x

Combine like terms: 14x + -14x = 0
-5 + -30x = -35 + 0
-5 + -30x = -35

Add '5' to each side of the equation.
-5 + 5 + -30x = -35 + 5

Combine like terms: -5 + 5 = 0
0 + -30x = -35 + 5
-30x = -35 + 5

Combine like terms: -35 + 5 = -30
-30x = -30

Divide each side by '-30'.
x = 1

Simplifying
x = 1

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