-2(13x-5)+9(3x-6)-3=2-7

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Solution for -2(13x-5)+9(3x-6)-3=2-7 equation:


Simplifying
-2(13x + -5) + 9(3x + -6) + -3 = 2 + -7

Reorder the terms:
-2(-5 + 13x) + 9(3x + -6) + -3 = 2 + -7
(-5 * -2 + 13x * -2) + 9(3x + -6) + -3 = 2 + -7
(10 + -26x) + 9(3x + -6) + -3 = 2 + -7

Reorder the terms:
10 + -26x + 9(-6 + 3x) + -3 = 2 + -7
10 + -26x + (-6 * 9 + 3x * 9) + -3 = 2 + -7
10 + -26x + (-54 + 27x) + -3 = 2 + -7

Reorder the terms:
10 + -54 + -3 + -26x + 27x = 2 + -7

Combine like terms: 10 + -54 = -44
-44 + -3 + -26x + 27x = 2 + -7

Combine like terms: -44 + -3 = -47
-47 + -26x + 27x = 2 + -7

Combine like terms: -26x + 27x = 1x
-47 + 1x = 2 + -7

Combine like terms: 2 + -7 = -5
-47 + 1x = -5

Solving
-47 + 1x = -5

Solving for variable 'x'.

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

Add '47' to each side of the equation.
-47 + 47 + 1x = -5 + 47

Combine like terms: -47 + 47 = 0
0 + 1x = -5 + 47
1x = -5 + 47

Combine like terms: -5 + 47 = 42
1x = 42

Divide each side by '1'.
x = 42

Simplifying
x = 42

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