6x-2(x-5)=22

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Solution for 6x-2(x-5)=22 equation:


Simplifying
6x + -2(x + -5) = 22

Reorder the terms:
6x + -2(-5 + x) = 22
6x + (-5 * -2 + x * -2) = 22
6x + (10 + -2x) = 22

Reorder the terms:
10 + 6x + -2x = 22

Combine like terms: 6x + -2x = 4x
10 + 4x = 22

Solving
10 + 4x = 22

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 4x = 22 + -10

Combine like terms: 10 + -10 = 0
0 + 4x = 22 + -10
4x = 22 + -10

Combine like terms: 22 + -10 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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