2(x-4)-5(x-1)=10

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Solution for 2(x-4)-5(x-1)=10 equation: 


Simplifying
2(x + -4) + -5(x + -1) = 10

Reorder the terms:
2(-4 + x) + -5(x + -1) = 10
(-4 * 2 + x * 2) + -5(x + -1) = 10
(-8 + 2x) + -5(x + -1) = 10

Reorder the terms:
-8 + 2x + -5(-1 + x) = 10
-8 + 2x + (-1 * -5 + x * -5) = 10
-8 + 2x + (5 + -5x) = 10

Reorder the terms:
-8 + 5 + 2x + -5x = 10

Combine like terms: -8 + 5 = -3
-3 + 2x + -5x = 10

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

Solving
-3 + -3x = 10

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + -3x = 10 + 3

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

Combine like terms: 10 + 3 = 13
-3x = 13

Divide each side by '-3'.
x = -4.333333333

Simplifying
x = -4.333333333

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