6(3x-1)-2(4x-9)=9x+6

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Solution for 6(3x-1)-2(4x-9)=9x+6 equation:


Simplifying
6(3x + -1) + -2(4x + -9) = 9x + 6

Reorder the terms:
6(-1 + 3x) + -2(4x + -9) = 9x + 6
(-1 * 6 + 3x * 6) + -2(4x + -9) = 9x + 6
(-6 + 18x) + -2(4x + -9) = 9x + 6

Reorder the terms:
-6 + 18x + -2(-9 + 4x) = 9x + 6
-6 + 18x + (-9 * -2 + 4x * -2) = 9x + 6
-6 + 18x + (18 + -8x) = 9x + 6

Reorder the terms:
-6 + 18 + 18x + -8x = 9x + 6

Combine like terms: -6 + 18 = 12
12 + 18x + -8x = 9x + 6

Combine like terms: 18x + -8x = 10x
12 + 10x = 9x + 6

Reorder the terms:
12 + 10x = 6 + 9x

Solving
12 + 10x = 6 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
12 + 10x + -9x = 6 + 9x + -9x

Combine like terms: 10x + -9x = 1x
12 + 1x = 6 + 9x + -9x

Combine like terms: 9x + -9x = 0
12 + 1x = 6 + 0
12 + 1x = 6

Add '-12' to each side of the equation.
12 + -12 + 1x = 6 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = 6 + -12
1x = 6 + -12

Combine like terms: 6 + -12 = -6
1x = -6

Divide each side by '1'.
x = -6

Simplifying
x = -6

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