4(3-x)+11=-11(x-3)-3

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Solution for 4(3-x)+11=-11(x-3)-3 equation:


Simplifying
4(3 + -1x) + 11 = -11(x + -3) + -3
(3 * 4 + -1x * 4) + 11 = -11(x + -3) + -3
(12 + -4x) + 11 = -11(x + -3) + -3

Reorder the terms:
12 + 11 + -4x = -11(x + -3) + -3

Combine like terms: 12 + 11 = 23
23 + -4x = -11(x + -3) + -3

Reorder the terms:
23 + -4x = -11(-3 + x) + -3
23 + -4x = (-3 * -11 + x * -11) + -3
23 + -4x = (33 + -11x) + -3

Reorder the terms:
23 + -4x = 33 + -3 + -11x

Combine like terms: 33 + -3 = 30
23 + -4x = 30 + -11x

Solving
23 + -4x = 30 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
23 + -4x + 11x = 30 + -11x + 11x

Combine like terms: -4x + 11x = 7x
23 + 7x = 30 + -11x + 11x

Combine like terms: -11x + 11x = 0
23 + 7x = 30 + 0
23 + 7x = 30

Add '-23' to each side of the equation.
23 + -23 + 7x = 30 + -23

Combine like terms: 23 + -23 = 0
0 + 7x = 30 + -23
7x = 30 + -23

Combine like terms: 30 + -23 = 7
7x = 7

Divide each side by '7'.
x = 1

Simplifying
x = 1

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