-3(x-2)+5(x-1)=-10

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Solution for -3(x-2)+5(x-1)=-10 equation: 


Simplifying
-3(x + -2) + 5(x + -1) = -10

Reorder the terms:
-3(-2 + x) + 5(x + -1) = -10
(-2 * -3 + x * -3) + 5(x + -1) = -10
(6 + -3x) + 5(x + -1) = -10

Reorder the terms:
6 + -3x + 5(-1 + x) = -10
6 + -3x + (-1 * 5 + x * 5) = -10
6 + -3x + (-5 + 5x) = -10

Reorder the terms:
6 + -5 + -3x + 5x = -10

Combine like terms: 6 + -5 = 1
1 + -3x + 5x = -10

Combine like terms: -3x + 5x = 2x
1 + 2x = -10

Solving
1 + 2x = -10

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 = -10 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = -10 + -1
2x = -10 + -1

Combine like terms: -10 + -1 = -11
2x = -11

Divide each side by '2'.
x = -5.5

Simplifying
x = -5.5

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