9(x-10)-10(x-9)=x+9-(x-7)

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Solution for 9(x-10)-10(x-9)=x+9-(x-7) equation: 


Simplifying
9(x + -10) + -10(x + -9) = x + 9 + -1(x + -7)

Reorder the terms:
9(-10 + x) + -10(x + -9) = x + 9 + -1(x + -7)
(-10 * 9 + x * 9) + -10(x + -9) = x + 9 + -1(x + -7)
(-90 + 9x) + -10(x + -9) = x + 9 + -1(x + -7)

Reorder the terms:
-90 + 9x + -10(-9 + x) = x + 9 + -1(x + -7)
-90 + 9x + (-9 * -10 + x * -10) = x + 9 + -1(x + -7)
-90 + 9x + (90 + -10x) = x + 9 + -1(x + -7)

Reorder the terms:
-90 + 90 + 9x + -10x = x + 9 + -1(x + -7)

Combine like terms: -90 + 90 = 0
0 + 9x + -10x = x + 9 + -1(x + -7)
9x + -10x = x + 9 + -1(x + -7)

Combine like terms: 9x + -10x = -1x
-1x = x + 9 + -1(x + -7)

Reorder the terms:
-1x = x + 9 + -1(-7 + x)
-1x = x + 9 + (-7 * -1 + x * -1)
-1x = x + 9 + (7 + -1x)

Reorder the terms:
-1x = 9 + 7 + x + -1x

Combine like terms: 9 + 7 = 16
-1x = 16 + x + -1x

Combine like terms: x + -1x = 0
-1x = 16 + 0
-1x = 16

Solving
-1x = 16

Solving for variable 'x'.

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

Divide each side by '-1'.
x = -16

Simplifying
x = -16

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