6(3x+1)-10x=22

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Solution for 6(3x+1)-10x=22 equation:


Simplifying
6(3x + 1) + -10x = 22

Reorder the terms:
6(1 + 3x) + -10x = 22
(1 * 6 + 3x * 6) + -10x = 22
(6 + 18x) + -10x = 22

Combine like terms: 18x + -10x = 8x
6 + 8x = 22

Solving
6 + 8x = 22

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 8x = 22 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = 22 + -6
8x = 22 + -6

Combine like terms: 22 + -6 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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