4=6(x-3)+5x

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Solution for 4=6(x-3)+5x equation:


Simplifying
4 = 6(x + -3) + 5x

Reorder the terms:
4 = 6(-3 + x) + 5x
4 = (-3 * 6 + x * 6) + 5x
4 = (-18 + 6x) + 5x

Combine like terms: 6x + 5x = 11x
4 = -18 + 11x

Solving
4 = -18 + 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.
4 + -11x = -18 + 11x + -11x

Combine like terms: 11x + -11x = 0
4 + -11x = -18 + 0
4 + -11x = -18

Add '-4' to each side of the equation.
4 + -4 + -11x = -18 + -4

Combine like terms: 4 + -4 = 0
0 + -11x = -18 + -4
-11x = -18 + -4

Combine like terms: -18 + -4 = -22
-11x = -22

Divide each side by '-11'.
x = 2

Simplifying
x = 2

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