6(2x-4)+9=10(6-2)+3x

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Solution for 6(2x-4)+9=10(6-2)+3x equation: 


Simplifying
6(2x + -4) + 9 = 10(6 + -2) + 3x

Reorder the terms:
6(-4 + 2x) + 9 = 10(6 + -2) + 3x
(-4 * 6 + 2x * 6) + 9 = 10(6 + -2) + 3x
(-24 + 12x) + 9 = 10(6 + -2) + 3x

Reorder the terms:
-24 + 9 + 12x = 10(6 + -2) + 3x

Combine like terms: -24 + 9 = -15
-15 + 12x = 10(6 + -2) + 3x

Combine like terms: 6 + -2 = 4
-15 + 12x = 10(4) + 3x

Multiply 10 * 4
-15 + 12x = 40 + 3x

Solving
-15 + 12x = 40 + 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.
-15 + 12x + -3x = 40 + 3x + -3x

Combine like terms: 12x + -3x = 9x
-15 + 9x = 40 + 3x + -3x

Combine like terms: 3x + -3x = 0
-15 + 9x = 40 + 0
-15 + 9x = 40

Add '15' to each side of the equation.
-15 + 15 + 9x = 40 + 15

Combine like terms: -15 + 15 = 0
0 + 9x = 40 + 15
9x = 40 + 15

Combine like terms: 40 + 15 = 55
9x = 55

Divide each side by '9'.
x = 6.111111111

Simplifying
x = 6.111111111

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