9(x-9)-(x-13)=2(x+14)

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Solution for 9(x-9)-(x-13)=2(x+14) equation:


Simplifying
9(x + -9) + -1(x + -13) = 2(x + 14)

Reorder the terms:
9(-9 + x) + -1(x + -13) = 2(x + 14)
(-9 * 9 + x * 9) + -1(x + -13) = 2(x + 14)
(-81 + 9x) + -1(x + -13) = 2(x + 14)

Reorder the terms:
-81 + 9x + -1(-13 + x) = 2(x + 14)
-81 + 9x + (-13 * -1 + x * -1) = 2(x + 14)
-81 + 9x + (13 + -1x) = 2(x + 14)

Reorder the terms:
-81 + 13 + 9x + -1x = 2(x + 14)

Combine like terms: -81 + 13 = -68
-68 + 9x + -1x = 2(x + 14)

Combine like terms: 9x + -1x = 8x
-68 + 8x = 2(x + 14)

Reorder the terms:
-68 + 8x = 2(14 + x)
-68 + 8x = (14 * 2 + x * 2)
-68 + 8x = (28 + 2x)

Solving
-68 + 8x = 28 + 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.
-68 + 8x + -2x = 28 + 2x + -2x

Combine like terms: 8x + -2x = 6x
-68 + 6x = 28 + 2x + -2x

Combine like terms: 2x + -2x = 0
-68 + 6x = 28 + 0
-68 + 6x = 28

Add '68' to each side of the equation.
-68 + 68 + 6x = 28 + 68

Combine like terms: -68 + 68 = 0
0 + 6x = 28 + 68
6x = 28 + 68

Combine like terms: 28 + 68 = 96
6x = 96

Divide each side by '6'.
x = 16

Simplifying
x = 16

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