-2(4x-3)+3(3x-7)-5=2-9

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Solution for -2(4x-3)+3(3x-7)-5=2-9 equation: 


Simplifying
-2(4x + -3) + 3(3x + -7) + -5 = 2 + -9

Reorder the terms:
-2(-3 + 4x) + 3(3x + -7) + -5 = 2 + -9
(-3 * -2 + 4x * -2) + 3(3x + -7) + -5 = 2 + -9
(6 + -8x) + 3(3x + -7) + -5 = 2 + -9

Reorder the terms:
6 + -8x + 3(-7 + 3x) + -5 = 2 + -9
6 + -8x + (-7 * 3 + 3x * 3) + -5 = 2 + -9
6 + -8x + (-21 + 9x) + -5 = 2 + -9

Reorder the terms:
6 + -21 + -5 + -8x + 9x = 2 + -9

Combine like terms: 6 + -21 = -15
-15 + -5 + -8x + 9x = 2 + -9

Combine like terms: -15 + -5 = -20
-20 + -8x + 9x = 2 + -9

Combine like terms: -8x + 9x = 1x
-20 + 1x = 2 + -9

Combine like terms: 2 + -9 = -7
-20 + 1x = -7

Solving
-20 + 1x = -7

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 1x = -7 + 20

Combine like terms: -20 + 20 = 0
0 + 1x = -7 + 20
1x = -7 + 20

Combine like terms: -7 + 20 = 13
1x = 13

Divide each side by '1'.
x = 13

Simplifying
x = 13

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