8(x-8)=4(x+2.5)

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Solution for 8(x-8)=4(x+2.5) equation:


Simplifying
8(x + -8) = 4(x + 2.5)

Reorder the terms:
8(-8 + x) = 4(x + 2.5)
(-8 * 8 + x * 8) = 4(x + 2.5)
(-64 + 8x) = 4(x + 2.5)

Reorder the terms:
-64 + 8x = 4(2.5 + x)
-64 + 8x = (2.5 * 4 + x * 4)
-64 + 8x = (10 + 4x)

Solving
-64 + 8x = 10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-64 + 8x + -4x = 10 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-64 + 4x = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
-64 + 4x = 10 + 0
-64 + 4x = 10

Add '64' to each side of the equation.
-64 + 64 + 4x = 10 + 64

Combine like terms: -64 + 64 = 0
0 + 4x = 10 + 64
4x = 10 + 64

Combine like terms: 10 + 64 = 74
4x = 74

Divide each side by '4'.
x = 18.5

Simplifying
x = 18.5

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