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

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


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

Reorder the terms:
3(-4 + x) + -5(x + -1) = 5
(-4 * 3 + x * 3) + -5(x + -1) = 5
(-12 + 3x) + -5(x + -1) = 5

Reorder the terms:
-12 + 3x + -5(-1 + x) = 5
-12 + 3x + (-1 * -5 + x * -5) = 5
-12 + 3x + (5 + -5x) = 5

Reorder the terms:
-12 + 5 + 3x + -5x = 5

Combine like terms: -12 + 5 = -7
-7 + 3x + -5x = 5

Combine like terms: 3x + -5x = -2x
-7 + -2x = 5

Solving
-7 + -2x = 5

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + -2x = 5 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = 5 + 7
-2x = 5 + 7

Combine like terms: 5 + 7 = 12
-2x = 12

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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