6(x+8)-4(x-2)=26

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Solution for 6(x+8)-4(x-2)=26 equation: 


Simplifying
6(x + 8) + -4(x + -2) = 26

Reorder the terms:
6(8 + x) + -4(x + -2) = 26
(8 * 6 + x * 6) + -4(x + -2) = 26
(48 + 6x) + -4(x + -2) = 26

Reorder the terms:
48 + 6x + -4(-2 + x) = 26
48 + 6x + (-2 * -4 + x * -4) = 26
48 + 6x + (8 + -4x) = 26

Reorder the terms:
48 + 8 + 6x + -4x = 26

Combine like terms: 48 + 8 = 56
56 + 6x + -4x = 26

Combine like terms: 6x + -4x = 2x
56 + 2x = 26

Solving
56 + 2x = 26

Solving for variable 'x'.

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

Add '-56' to each side of the equation.
56 + -56 + 2x = 26 + -56

Combine like terms: 56 + -56 = 0
0 + 2x = 26 + -56
2x = 26 + -56

Combine like terms: 26 + -56 = -30
2x = -30

Divide each side by '2'.
x = -15

Simplifying
x = -15

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