6(2x+4)-3(2x+3)=45

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Solution for 6(2x+4)-3(2x+3)=45 equation: 


Simplifying
6(2x + 4) + -3(2x + 3) = 45

Reorder the terms:
6(4 + 2x) + -3(2x + 3) = 45
(4 * 6 + 2x * 6) + -3(2x + 3) = 45
(24 + 12x) + -3(2x + 3) = 45

Reorder the terms:
24 + 12x + -3(3 + 2x) = 45
24 + 12x + (3 * -3 + 2x * -3) = 45
24 + 12x + (-9 + -6x) = 45

Reorder the terms:
24 + -9 + 12x + -6x = 45

Combine like terms: 24 + -9 = 15
15 + 12x + -6x = 45

Combine like terms: 12x + -6x = 6x
15 + 6x = 45

Solving
15 + 6x = 45

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 6x = 45 + -15

Combine like terms: 15 + -15 = 0
0 + 6x = 45 + -15
6x = 45 + -15

Combine like terms: 45 + -15 = 30
6x = 30

Divide each side by '6'.
x = 5

Simplifying
x = 5

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