10(4x-4)-8(4x+5)=-56

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Solution for 10(4x-4)-8(4x+5)=-56 equation:


Simplifying
10(4x + -4) + -8(4x + 5) = -56

Reorder the terms:
10(-4 + 4x) + -8(4x + 5) = -56
(-4 * 10 + 4x * 10) + -8(4x + 5) = -56
(-40 + 40x) + -8(4x + 5) = -56

Reorder the terms:
-40 + 40x + -8(5 + 4x) = -56
-40 + 40x + (5 * -8 + 4x * -8) = -56
-40 + 40x + (-40 + -32x) = -56

Reorder the terms:
-40 + -40 + 40x + -32x = -56

Combine like terms: -40 + -40 = -80
-80 + 40x + -32x = -56

Combine like terms: 40x + -32x = 8x
-80 + 8x = -56

Solving
-80 + 8x = -56

Solving for variable 'x'.

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

Add '80' to each side of the equation.
-80 + 80 + 8x = -56 + 80

Combine like terms: -80 + 80 = 0
0 + 8x = -56 + 80
8x = -56 + 80

Combine like terms: -56 + 80 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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