4(8x+16)=8(5x+10)

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Solution for 4(8x+16)=8(5x+10) equation:


Simplifying
4(8x + 16) = 8(5x + 10)

Reorder the terms:
4(16 + 8x) = 8(5x + 10)
(16 * 4 + 8x * 4) = 8(5x + 10)
(64 + 32x) = 8(5x + 10)

Reorder the terms:
64 + 32x = 8(10 + 5x)
64 + 32x = (10 * 8 + 5x * 8)
64 + 32x = (80 + 40x)

Solving
64 + 32x = 80 + 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
64 + 32x + -40x = 80 + 40x + -40x

Combine like terms: 32x + -40x = -8x
64 + -8x = 80 + 40x + -40x

Combine like terms: 40x + -40x = 0
64 + -8x = 80 + 0
64 + -8x = 80

Add '-64' to each side of the equation.
64 + -64 + -8x = 80 + -64

Combine like terms: 64 + -64 = 0
0 + -8x = 80 + -64
-8x = 80 + -64

Combine like terms: 80 + -64 = 16
-8x = 16

Divide each side by '-8'.
x = -2

Simplifying
x = -2

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