2(-x+7)-6(4x+3)=15

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Solution for 2(-x+7)-6(4x+3)=15 equation:


Simplifying
2(-1x + 7) + -6(4x + 3) = 15

Reorder the terms:
2(7 + -1x) + -6(4x + 3) = 15
(7 * 2 + -1x * 2) + -6(4x + 3) = 15
(14 + -2x) + -6(4x + 3) = 15

Reorder the terms:
14 + -2x + -6(3 + 4x) = 15
14 + -2x + (3 * -6 + 4x * -6) = 15
14 + -2x + (-18 + -24x) = 15

Reorder the terms:
14 + -18 + -2x + -24x = 15

Combine like terms: 14 + -18 = -4
-4 + -2x + -24x = 15

Combine like terms: -2x + -24x = -26x
-4 + -26x = 15

Solving
-4 + -26x = 15

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + -26x = 15 + 4

Combine like terms: -4 + 4 = 0
0 + -26x = 15 + 4
-26x = 15 + 4

Combine like terms: 15 + 4 = 19
-26x = 19

Divide each side by '-26'.
x = -0.7307692308

Simplifying
x = -0.7307692308

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