x-6=9-10(x+7)

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Solution for x-6=9-10(x+7) equation:


Simplifying
x + -6 = 9 + -10(x + 7)

Reorder the terms:
-6 + x = 9 + -10(x + 7)

Reorder the terms:
-6 + x = 9 + -10(7 + x)
-6 + x = 9 + (7 * -10 + x * -10)
-6 + x = 9 + (-70 + -10x)

Combine like terms: 9 + -70 = -61
-6 + x = -61 + -10x

Solving
-6 + x = -61 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-6 + x + 10x = -61 + -10x + 10x

Combine like terms: x + 10x = 11x
-6 + 11x = -61 + -10x + 10x

Combine like terms: -10x + 10x = 0
-6 + 11x = -61 + 0
-6 + 11x = -61

Add '6' to each side of the equation.
-6 + 6 + 11x = -61 + 6

Combine like terms: -6 + 6 = 0
0 + 11x = -61 + 6
11x = -61 + 6

Combine like terms: -61 + 6 = -55
11x = -55

Divide each side by '11'.
x = -5

Simplifying
x = -5

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