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

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


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

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

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

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

Combine like terms: 5x + 2x = 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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