5(x-1)-6(x-2)=0

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Solution for 5(x-1)-6(x-2)=0 equation: 


Simplifying
5(x + -1) + -6(x + -2) = 0

Reorder the terms:
5(-1 + x) + -6(x + -2) = 0
(-1 * 5 + x * 5) + -6(x + -2) = 0
(-5 + 5x) + -6(x + -2) = 0

Reorder the terms:
-5 + 5x + -6(-2 + x) = 0
-5 + 5x + (-2 * -6 + x * -6) = 0
-5 + 5x + (12 + -6x) = 0

Reorder the terms:
-5 + 12 + 5x + -6x = 0

Combine like terms: -5 + 12 = 7
7 + 5x + -6x = 0

Combine like terms: 5x + -6x = -1x
7 + -1x = 0

Solving
7 + -1x = 0

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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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