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

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


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

Reorder the terms:
2(-2 + x) + -5(x + -1) = 10
(-2 * 2 + x * 2) + -5(x + -1) = 10
(-4 + 2x) + -5(x + -1) = 10

Reorder the terms:
-4 + 2x + -5(-1 + x) = 10
-4 + 2x + (-1 * -5 + x * -5) = 10
-4 + 2x + (5 + -5x) = 10

Reorder the terms:
-4 + 5 + 2x + -5x = 10

Combine like terms: -4 + 5 = 1
1 + 2x + -5x = 10

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

Solving
1 + -3x = 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 + -3x = 10 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 10 + -1
-3x = 10 + -1

Combine like terms: 10 + -1 = 9
-3x = 9

Divide each side by '-3'.
x = -3

Simplifying
x = -3

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