3(1-x)+4(x-5)=10

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Solution for 3(1-x)+4(x-5)=10 equation: 


Simplifying
3(1 + -1x) + 4(x + -5) = 10
(1 * 3 + -1x * 3) + 4(x + -5) = 10
(3 + -3x) + 4(x + -5) = 10

Reorder the terms:
3 + -3x + 4(-5 + x) = 10
3 + -3x + (-5 * 4 + x * 4) = 10
3 + -3x + (-20 + 4x) = 10

Reorder the terms:
3 + -20 + -3x + 4x = 10

Combine like terms: 3 + -20 = -17
-17 + -3x + 4x = 10

Combine like terms: -3x + 4x = 1x
-17 + 1x = 10

Solving
-17 + 1x = 10

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + 1x = 10 + 17

Combine like terms: -17 + 17 = 0
0 + 1x = 10 + 17
1x = 10 + 17

Combine like terms: 10 + 17 = 27
1x = 27

Divide each side by '1'.
x = 27

Simplifying
x = 27

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