5*(x-1)+3*(x-2)=2

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Solution for 5*(x-1)+3*(x-2)=2 equation: 


Simplifying
5(x + -1) + 3(x + -2) = 2

Reorder the terms:
5(-1 + x) + 3(x + -2) = 2
(-1 * 5 + x * 5) + 3(x + -2) = 2
(-5 + 5x) + 3(x + -2) = 2

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

Reorder the terms:
-5 + -6 + 5x + 3x = 2

Combine like terms: -5 + -6 = -11
-11 + 5x + 3x = 2

Combine like terms: 5x + 3x = 8x
-11 + 8x = 2

Solving
-11 + 8x = 2

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 8x = 2 + 11

Combine like terms: -11 + 11 = 0
0 + 8x = 2 + 11
8x = 2 + 11

Combine like terms: 2 + 11 = 13
8x = 13

Divide each side by '8'.
x = 1.625

Simplifying
x = 1.625

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