5*(x-5)+3*(x-6)=2

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Solution for 5*(x-5)+3*(x-6)=2 equation: 


Simplifying
5(x + -5) + 3(x + -6) = 2

Reorder the terms:
5(-5 + x) + 3(x + -6) = 2
(-5 * 5 + x * 5) + 3(x + -6) = 2
(-25 + 5x) + 3(x + -6) = 2

Reorder the terms:
-25 + 5x + 3(-6 + x) = 2
-25 + 5x + (-6 * 3 + x * 3) = 2
-25 + 5x + (-18 + 3x) = 2

Reorder the terms:
-25 + -18 + 5x + 3x = 2

Combine like terms: -25 + -18 = -43
-43 + 5x + 3x = 2

Combine like terms: 5x + 3x = 8x
-43 + 8x = 2

Solving
-43 + 8x = 2

Solving for variable 'x'.

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

Add '43' to each side of the equation.
-43 + 43 + 8x = 2 + 43

Combine like terms: -43 + 43 = 0
0 + 8x = 2 + 43
8x = 2 + 43

Combine like terms: 2 + 43 = 45
8x = 45

Divide each side by '8'.
x = 5.625

Simplifying
x = 5.625

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