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

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


Simplifying
2(9 + -1x) + -3(x + -4) = 2x + -6
(9 * 2 + -1x * 2) + -3(x + -4) = 2x + -6
(18 + -2x) + -3(x + -4) = 2x + -6

Reorder the terms:
18 + -2x + -3(-4 + x) = 2x + -6
18 + -2x + (-4 * -3 + x * -3) = 2x + -6
18 + -2x + (12 + -3x) = 2x + -6

Reorder the terms:
18 + 12 + -2x + -3x = 2x + -6

Combine like terms: 18 + 12 = 30
30 + -2x + -3x = 2x + -6

Combine like terms: -2x + -3x = -5x
30 + -5x = 2x + -6

Reorder the terms:
30 + -5x = -6 + 2x

Solving
30 + -5x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
30 + -5x + -2x = -6 + 2x + -2x

Combine like terms: -5x + -2x = -7x
30 + -7x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
30 + -7x = -6 + 0
30 + -7x = -6

Add '-30' to each side of the equation.
30 + -30 + -7x = -6 + -30

Combine like terms: 30 + -30 = 0
0 + -7x = -6 + -30
-7x = -6 + -30

Combine like terms: -6 + -30 = -36
-7x = -36

Divide each side by '-7'.
x = 5.142857143

Simplifying
x = 5.142857143

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