8(7x+8)=-4(2x-80)

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Solution for 8(7x+8)=-4(2x-80) equation: 


Simplifying
8(7x + 8) = -4(2x + -80)

Reorder the terms:
8(8 + 7x) = -4(2x + -80)
(8 * 8 + 7x * 8) = -4(2x + -80)
(64 + 56x) = -4(2x + -80)

Reorder the terms:
64 + 56x = -4(-80 + 2x)
64 + 56x = (-80 * -4 + 2x * -4)
64 + 56x = (320 + -8x)

Solving
64 + 56x = 320 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
64 + 56x + 8x = 320 + -8x + 8x

Combine like terms: 56x + 8x = 64x
64 + 64x = 320 + -8x + 8x

Combine like terms: -8x + 8x = 0
64 + 64x = 320 + 0
64 + 64x = 320

Add '-64' to each side of the equation.
64 + -64 + 64x = 320 + -64

Combine like terms: 64 + -64 = 0
0 + 64x = 320 + -64
64x = 320 + -64

Combine like terms: 320 + -64 = 256
64x = 256

Divide each side by '64'.
x = 4

Simplifying
x = 4

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