1000-(x-20)=(10)(x-20)

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Solution for 1000-(x-20)=(10)(x-20) equation:


Simplifying
1000 + -1(x + -20) = (10)(x + -20)

Reorder the terms:
1000 + -1(-20 + x) = (10)(x + -20)
1000 + (-20 * -1 + x * -1) = (10)(x + -20)
1000 + (20 + -1x) = (10)(x + -20)

Combine like terms: 1000 + 20 = 1020
1020 + -1x = (10)(x + -20)

Reorder the terms:
1020 + -1x = 10(-20 + x)
1020 + -1x = (-20 * 10 + x * 10)
1020 + -1x = (-200 + 10x)

Solving
1020 + -1x = -200 + 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.
1020 + -1x + -10x = -200 + 10x + -10x

Combine like terms: -1x + -10x = -11x
1020 + -11x = -200 + 10x + -10x

Combine like terms: 10x + -10x = 0
1020 + -11x = -200 + 0
1020 + -11x = -200

Add '-1020' to each side of the equation.
1020 + -1020 + -11x = -200 + -1020

Combine like terms: 1020 + -1020 = 0
0 + -11x = -200 + -1020
-11x = -200 + -1020

Combine like terms: -200 + -1020 = -1220
-11x = -1220

Divide each side by '-11'.
x = 110.9090909

Simplifying
x = 110.9090909

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