6(4-x)+11=-11(3-x)-4

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Solution for 6(4-x)+11=-11(3-x)-4 equation:


Simplifying
6(4 + -1x) + 11 = -11(3 + -1x) + -4
(4 * 6 + -1x * 6) + 11 = -11(3 + -1x) + -4
(24 + -6x) + 11 = -11(3 + -1x) + -4

Reorder the terms:
24 + 11 + -6x = -11(3 + -1x) + -4

Combine like terms: 24 + 11 = 35
35 + -6x = -11(3 + -1x) + -4
35 + -6x = (3 * -11 + -1x * -11) + -4
35 + -6x = (-33 + 11x) + -4

Reorder the terms:
35 + -6x = -33 + -4 + 11x

Combine like terms: -33 + -4 = -37
35 + -6x = -37 + 11x

Solving
35 + -6x = -37 + 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.
35 + -6x + -11x = -37 + 11x + -11x

Combine like terms: -6x + -11x = -17x
35 + -17x = -37 + 11x + -11x

Combine like terms: 11x + -11x = 0
35 + -17x = -37 + 0
35 + -17x = -37

Add '-35' to each side of the equation.
35 + -35 + -17x = -37 + -35

Combine like terms: 35 + -35 = 0
0 + -17x = -37 + -35
-17x = -37 + -35

Combine like terms: -37 + -35 = -72
-17x = -72

Divide each side by '-17'.
x = 4.235294118

Simplifying
x = 4.235294118

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