8(2x-4)=5(x+3)

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Solution for 8(2x-4)=5(x+3) equation:


Simplifying
8(2x + -4) = 5(x + 3)

Reorder the terms:
8(-4 + 2x) = 5(x + 3)
(-4 * 8 + 2x * 8) = 5(x + 3)
(-32 + 16x) = 5(x + 3)

Reorder the terms:
-32 + 16x = 5(3 + x)
-32 + 16x = (3 * 5 + x * 5)
-32 + 16x = (15 + 5x)

Solving
-32 + 16x = 15 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-32 + 16x + -5x = 15 + 5x + -5x

Combine like terms: 16x + -5x = 11x
-32 + 11x = 15 + 5x + -5x

Combine like terms: 5x + -5x = 0
-32 + 11x = 15 + 0
-32 + 11x = 15

Add '32' to each side of the equation.
-32 + 32 + 11x = 15 + 32

Combine like terms: -32 + 32 = 0
0 + 11x = 15 + 32
11x = 15 + 32

Combine like terms: 15 + 32 = 47
11x = 47

Divide each side by '11'.
x = 4.272727273

Simplifying
x = 4.272727273

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