x-5=10-10(x+7)

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Solution for x-5=10-10(x+7) equation:


Simplifying
x + -5 = 10 + -10(x + 7)

Reorder the terms:
-5 + x = 10 + -10(x + 7)

Reorder the terms:
-5 + x = 10 + -10(7 + x)
-5 + x = 10 + (7 * -10 + x * -10)
-5 + x = 10 + (-70 + -10x)

Combine like terms: 10 + -70 = -60
-5 + x = -60 + -10x

Solving
-5 + x = -60 + -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.
-5 + x + 10x = -60 + -10x + 10x

Combine like terms: x + 10x = 11x
-5 + 11x = -60 + -10x + 10x

Combine like terms: -10x + 10x = 0
-5 + 11x = -60 + 0
-5 + 11x = -60

Add '5' to each side of the equation.
-5 + 5 + 11x = -60 + 5

Combine like terms: -5 + 5 = 0
0 + 11x = -60 + 5
11x = -60 + 5

Combine like terms: -60 + 5 = -55
11x = -55

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

Simplifying
x = -5

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