2(x-7)-6=3(x-9)

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Solution for 2(x-7)-6=3(x-9) equation:


Simplifying
2(x + -7) + -6 = 3(x + -9)

Reorder the terms:
2(-7 + x) + -6 = 3(x + -9)
(-7 * 2 + x * 2) + -6 = 3(x + -9)
(-14 + 2x) + -6 = 3(x + -9)

Reorder the terms:
-14 + -6 + 2x = 3(x + -9)

Combine like terms: -14 + -6 = -20
-20 + 2x = 3(x + -9)

Reorder the terms:
-20 + 2x = 3(-9 + x)
-20 + 2x = (-9 * 3 + x * 3)
-20 + 2x = (-27 + 3x)

Solving
-20 + 2x = -27 + 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.
-20 + 2x + -3x = -27 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-20 + -1x = -27 + 3x + -3x

Combine like terms: 3x + -3x = 0
-20 + -1x = -27 + 0
-20 + -1x = -27

Add '20' to each side of the equation.
-20 + 20 + -1x = -27 + 20

Combine like terms: -20 + 20 = 0
0 + -1x = -27 + 20
-1x = -27 + 20

Combine like terms: -27 + 20 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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