6(x-3)=3x+45

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


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

Reorder the terms:
6(-3 + x) = 3x + 45
(-3 * 6 + x * 6) = 3x + 45
(-18 + 6x) = 3x + 45

Reorder the terms:
-18 + 6x = 45 + 3x

Solving
-18 + 6x = 45 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-18 + 6x + -3x = 45 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-18 + 3x = 45 + 3x + -3x

Combine like terms: 3x + -3x = 0
-18 + 3x = 45 + 0
-18 + 3x = 45

Add '18' to each side of the equation.
-18 + 18 + 3x = 45 + 18

Combine like terms: -18 + 18 = 0
0 + 3x = 45 + 18
3x = 45 + 18

Combine like terms: 45 + 18 = 63
3x = 63

Divide each side by '3'.
x = 21

Simplifying
x = 21

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