8(x-5)=-16(x+1)

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Solution for 8(x-5)=-16(x+1) equation:


Simplifying
8(x + -5) = -16(x + 1)

Reorder the terms:
8(-5 + x) = -16(x + 1)
(-5 * 8 + x * 8) = -16(x + 1)
(-40 + 8x) = -16(x + 1)

Reorder the terms:
-40 + 8x = -16(1 + x)
-40 + 8x = (1 * -16 + x * -16)
-40 + 8x = (-16 + -16x)

Solving
-40 + 8x = -16 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
-40 + 8x + 16x = -16 + -16x + 16x

Combine like terms: 8x + 16x = 24x
-40 + 24x = -16 + -16x + 16x

Combine like terms: -16x + 16x = 0
-40 + 24x = -16 + 0
-40 + 24x = -16

Add '40' to each side of the equation.
-40 + 40 + 24x = -16 + 40

Combine like terms: -40 + 40 = 0
0 + 24x = -16 + 40
24x = -16 + 40

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

Divide each side by '24'.
x = 1

Simplifying
x = 1

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