-10(x-3)=-7x-11(x-10)

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Solution for -10(x-3)=-7x-11(x-10) equation:


Simplifying
-10(x + -3) = -7x + -11(x + -10)

Reorder the terms:
-10(-3 + x) = -7x + -11(x + -10)
(-3 * -10 + x * -10) = -7x + -11(x + -10)
(30 + -10x) = -7x + -11(x + -10)

Reorder the terms:
30 + -10x = -7x + -11(-10 + x)
30 + -10x = -7x + (-10 * -11 + x * -11)
30 + -10x = -7x + (110 + -11x)

Reorder the terms:
30 + -10x = 110 + -7x + -11x

Combine like terms: -7x + -11x = -18x
30 + -10x = 110 + -18x

Solving
30 + -10x = 110 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
30 + -10x + 18x = 110 + -18x + 18x

Combine like terms: -10x + 18x = 8x
30 + 8x = 110 + -18x + 18x

Combine like terms: -18x + 18x = 0
30 + 8x = 110 + 0
30 + 8x = 110

Add '-30' to each side of the equation.
30 + -30 + 8x = 110 + -30

Combine like terms: 30 + -30 = 0
0 + 8x = 110 + -30
8x = 110 + -30

Combine like terms: 110 + -30 = 80
8x = 80

Divide each side by '8'.
x = 10

Simplifying
x = 10

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