(4-x)6+2=11(x+3)+10

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Solution for (4-x)6+2=11(x+3)+10 equation:


Simplifying
(4 + -1x) * 6 + 2 = 11(x + 3) + 10

Reorder the terms for easier multiplication:
6(4 + -1x) + 2 = 11(x + 3) + 10
(4 * 6 + -1x * 6) + 2 = 11(x + 3) + 10
(24 + -6x) + 2 = 11(x + 3) + 10

Reorder the terms:
24 + 2 + -6x = 11(x + 3) + 10

Combine like terms: 24 + 2 = 26
26 + -6x = 11(x + 3) + 10

Reorder the terms:
26 + -6x = 11(3 + x) + 10
26 + -6x = (3 * 11 + x * 11) + 10
26 + -6x = (33 + 11x) + 10

Reorder the terms:
26 + -6x = 33 + 10 + 11x

Combine like terms: 33 + 10 = 43
26 + -6x = 43 + 11x

Solving
26 + -6x = 43 + 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.
26 + -6x + -11x = 43 + 11x + -11x

Combine like terms: -6x + -11x = -17x
26 + -17x = 43 + 11x + -11x

Combine like terms: 11x + -11x = 0
26 + -17x = 43 + 0
26 + -17x = 43

Add '-26' to each side of the equation.
26 + -26 + -17x = 43 + -26

Combine like terms: 26 + -26 = 0
0 + -17x = 43 + -26
-17x = 43 + -26

Combine like terms: 43 + -26 = 17
-17x = 17

Divide each side by '-17'.
x = -1

Simplifying
x = -1

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