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

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


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

Reorder the terms:
3(-3 + 4x) + -6(x + -4) = 45
(-3 * 3 + 4x * 3) + -6(x + -4) = 45
(-9 + 12x) + -6(x + -4) = 45

Reorder the terms:
-9 + 12x + -6(-4 + x) = 45
-9 + 12x + (-4 * -6 + x * -6) = 45
-9 + 12x + (24 + -6x) = 45

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

Combine like terms: -9 + 24 = 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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