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

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


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

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

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

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

Combine like terms: -3 + -6 = -9
-9 + 3x + 2x = 5

Combine like terms: 3x + 2x = 5x
-9 + 5x = 5

Solving
-9 + 5x = 5

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 5x = 5 + 9

Combine like terms: -9 + 9 = 0
0 + 5x = 5 + 9
5x = 5 + 9

Combine like terms: 5 + 9 = 14
5x = 14

Divide each side by '5'.
x = 2.8

Simplifying
x = 2.8

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