-11(x-3)+18=(8-3x)7

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Solution for -11(x-3)+18=(8-3x)7 equation:


Simplifying
-11(x + -3) + 18 = (8 + -3x) * 7

Reorder the terms:
-11(-3 + x) + 18 = (8 + -3x) * 7
(-3 * -11 + x * -11) + 18 = (8 + -3x) * 7
(33 + -11x) + 18 = (8 + -3x) * 7

Reorder the terms:
33 + 18 + -11x = (8 + -3x) * 7

Combine like terms: 33 + 18 = 51
51 + -11x = (8 + -3x) * 7

Reorder the terms for easier multiplication:
51 + -11x = 7(8 + -3x)
51 + -11x = (8 * 7 + -3x * 7)
51 + -11x = (56 + -21x)

Solving
51 + -11x = 56 + -21x

Solving for variable 'x'.

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

Add '21x' to each side of the equation.
51 + -11x + 21x = 56 + -21x + 21x

Combine like terms: -11x + 21x = 10x
51 + 10x = 56 + -21x + 21x

Combine like terms: -21x + 21x = 0
51 + 10x = 56 + 0
51 + 10x = 56

Add '-51' to each side of the equation.
51 + -51 + 10x = 56 + -51

Combine like terms: 51 + -51 = 0
0 + 10x = 56 + -51
10x = 56 + -51

Combine like terms: 56 + -51 = 5
10x = 5

Divide each side by '10'.
x = 0.5

Simplifying
x = 0.5

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