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

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


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

Reorder the terms:
2(-3 + x) + 5(x + -1) = 3
(-3 * 2 + x * 2) + 5(x + -1) = 3
(-6 + 2x) + 5(x + -1) = 3

Reorder the terms:
-6 + 2x + 5(-1 + x) = 3
-6 + 2x + (-1 * 5 + x * 5) = 3
-6 + 2x + (-5 + 5x) = 3

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

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

Combine like terms: 2x + 5x = 7x
-11 + 7x = 3

Solving
-11 + 7x = 3

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 + 7x = 3 + 11

Combine like terms: -11 + 11 = 0
0 + 7x = 3 + 11
7x = 3 + 11

Combine like terms: 3 + 11 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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