3(x+1)-5(x-6)=45

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Solution for 3(x+1)-5(x-6)=45 equation: 


Simplifying
3(x + 1) + -5(x + -6) = 45

Reorder the terms:
3(1 + x) + -5(x + -6) = 45
(1 * 3 + x * 3) + -5(x + -6) = 45
(3 + 3x) + -5(x + -6) = 45

Reorder the terms:
3 + 3x + -5(-6 + x) = 45
3 + 3x + (-6 * -5 + x * -5) = 45
3 + 3x + (30 + -5x) = 45

Reorder the terms:
3 + 30 + 3x + -5x = 45

Combine like terms: 3 + 30 = 33
33 + 3x + -5x = 45

Combine like terms: 3x + -5x = -2x
33 + -2x = 45

Solving
33 + -2x = 45

Solving for variable 'x'.

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

Add '-33' to each side of the equation.
33 + -33 + -2x = 45 + -33

Combine like terms: 33 + -33 = 0
0 + -2x = 45 + -33
-2x = 45 + -33

Combine like terms: 45 + -33 = 12
-2x = 12

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

Simplifying
x = -6

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