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

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


Simplifying
11(10 + -1x) + 3 = -3(x + -3) + -10
(10 * 11 + -1x * 11) + 3 = -3(x + -3) + -10
(110 + -11x) + 3 = -3(x + -3) + -10

Reorder the terms:
110 + 3 + -11x = -3(x + -3) + -10

Combine like terms: 110 + 3 = 113
113 + -11x = -3(x + -3) + -10

Reorder the terms:
113 + -11x = -3(-3 + x) + -10
113 + -11x = (-3 * -3 + x * -3) + -10
113 + -11x = (9 + -3x) + -10

Reorder the terms:
113 + -11x = 9 + -10 + -3x

Combine like terms: 9 + -10 = -1
113 + -11x = -1 + -3x

Solving
113 + -11x = -1 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
113 + -11x + 3x = -1 + -3x + 3x

Combine like terms: -11x + 3x = -8x
113 + -8x = -1 + -3x + 3x

Combine like terms: -3x + 3x = 0
113 + -8x = -1 + 0
113 + -8x = -1

Add '-113' to each side of the equation.
113 + -113 + -8x = -1 + -113

Combine like terms: 113 + -113 = 0
0 + -8x = -1 + -113
-8x = -1 + -113

Combine like terms: -1 + -113 = -114
-8x = -114

Divide each side by '-8'.
x = 14.25

Simplifying
x = 14.25

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