6(x+2)-7(4x-8)=15

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Solution for 6(x+2)-7(4x-8)=15 equation: 


Simplifying
6(x + 2) + -7(4x + -8) = 15

Reorder the terms:
6(2 + x) + -7(4x + -8) = 15
(2 * 6 + x * 6) + -7(4x + -8) = 15
(12 + 6x) + -7(4x + -8) = 15

Reorder the terms:
12 + 6x + -7(-8 + 4x) = 15
12 + 6x + (-8 * -7 + 4x * -7) = 15
12 + 6x + (56 + -28x) = 15

Reorder the terms:
12 + 56 + 6x + -28x = 15

Combine like terms: 12 + 56 = 68
68 + 6x + -28x = 15

Combine like terms: 6x + -28x = -22x
68 + -22x = 15

Solving
68 + -22x = 15

Solving for variable 'x'.

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

Add '-68' to each side of the equation.
68 + -68 + -22x = 15 + -68

Combine like terms: 68 + -68 = 0
0 + -22x = 15 + -68
-22x = 15 + -68

Combine like terms: 15 + -68 = -53
-22x = -53

Divide each side by '-22'.
x = 2.409090909

Simplifying
x = 2.409090909

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