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

Combine like terms: 5x + -3x = 2x
1 + 2x = 2

Solving
1 + 2x = 2

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 2x = 2 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 2 + -1
2x = 2 + -1

Combine like terms: 2 + -1 = 1
2x = 1

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5

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