6(5x+3)=22x-8-3x

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Solution for 6(5x+3)=22x-8-3x equation:


Simplifying
6(5x + 3) = 22x + -8 + -3x

Reorder the terms:
6(3 + 5x) = 22x + -8 + -3x
(3 * 6 + 5x * 6) = 22x + -8 + -3x
(18 + 30x) = 22x + -8 + -3x

Reorder the terms:
18 + 30x = -8 + 22x + -3x

Combine like terms: 22x + -3x = 19x
18 + 30x = -8 + 19x

Solving
18 + 30x = -8 + 19x

Solving for variable 'x'.

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

Add '-19x' to each side of the equation.
18 + 30x + -19x = -8 + 19x + -19x

Combine like terms: 30x + -19x = 11x
18 + 11x = -8 + 19x + -19x

Combine like terms: 19x + -19x = 0
18 + 11x = -8 + 0
18 + 11x = -8

Add '-18' to each side of the equation.
18 + -18 + 11x = -8 + -18

Combine like terms: 18 + -18 = 0
0 + 11x = -8 + -18
11x = -8 + -18

Combine like terms: -8 + -18 = -26
11x = -26

Divide each side by '11'.
x = -2.363636364

Simplifying
x = -2.363636364

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