8(x-5)=5x+12

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Solution for 8(x-5)=5x+12 equation:


Simplifying
8(x + -5) = 5x + 12

Reorder the terms:
8(-5 + x) = 5x + 12
(-5 * 8 + x * 8) = 5x + 12
(-40 + 8x) = 5x + 12

Reorder the terms:
-40 + 8x = 12 + 5x

Solving
-40 + 8x = 12 + 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.
-40 + 8x + -5x = 12 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-40 + 3x = 12 + 5x + -5x

Combine like terms: 5x + -5x = 0
-40 + 3x = 12 + 0
-40 + 3x = 12

Add '40' to each side of the equation.
-40 + 40 + 3x = 12 + 40

Combine like terms: -40 + 40 = 0
0 + 3x = 12 + 40
3x = 12 + 40

Combine like terms: 12 + 40 = 52
3x = 52

Divide each side by '3'.
x = 17.33333333

Simplifying
x = 17.33333333

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