8(5x+9)=8(7x-3)

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Solution for 8(5x+9)=8(7x-3) equation:


Simplifying
8(5x + 9) = 8(7x + -3)

Reorder the terms:
8(9 + 5x) = 8(7x + -3)
(9 * 8 + 5x * 8) = 8(7x + -3)
(72 + 40x) = 8(7x + -3)

Reorder the terms:
72 + 40x = 8(-3 + 7x)
72 + 40x = (-3 * 8 + 7x * 8)
72 + 40x = (-24 + 56x)

Solving
72 + 40x = -24 + 56x

Solving for variable 'x'.

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

Add '-56x' to each side of the equation.
72 + 40x + -56x = -24 + 56x + -56x

Combine like terms: 40x + -56x = -16x
72 + -16x = -24 + 56x + -56x

Combine like terms: 56x + -56x = 0
72 + -16x = -24 + 0
72 + -16x = -24

Add '-72' to each side of the equation.
72 + -72 + -16x = -24 + -72

Combine like terms: 72 + -72 = 0
0 + -16x = -24 + -72
-16x = -24 + -72

Combine like terms: -24 + -72 = -96
-16x = -96

Divide each side by '-16'.
x = 6

Simplifying
x = 6

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