7(2x+1)-6(x+8)=12

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Solution for 7(2x+1)-6(x+8)=12 equation:


Simplifying
7(2x + 1) + -6(x + 8) = 12

Reorder the terms:
7(1 + 2x) + -6(x + 8) = 12
(1 * 7 + 2x * 7) + -6(x + 8) = 12
(7 + 14x) + -6(x + 8) = 12

Reorder the terms:
7 + 14x + -6(8 + x) = 12
7 + 14x + (8 * -6 + x * -6) = 12
7 + 14x + (-48 + -6x) = 12

Reorder the terms:
7 + -48 + 14x + -6x = 12

Combine like terms: 7 + -48 = -41
-41 + 14x + -6x = 12

Combine like terms: 14x + -6x = 8x
-41 + 8x = 12

Solving
-41 + 8x = 12

Solving for variable 'x'.

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

Add '41' to each side of the equation.
-41 + 41 + 8x = 12 + 41

Combine like terms: -41 + 41 = 0
0 + 8x = 12 + 41
8x = 12 + 41

Combine like terms: 12 + 41 = 53
8x = 53

Divide each side by '8'.
x = 6.625

Simplifying
x = 6.625

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