-4(5x-3)+3(7x-2)-5=2-6

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Solution for -4(5x-3)+3(7x-2)-5=2-6 equation: 


Simplifying
-4(5x + -3) + 3(7x + -2) + -5 = 2 + -6

Reorder the terms:
-4(-3 + 5x) + 3(7x + -2) + -5 = 2 + -6
(-3 * -4 + 5x * -4) + 3(7x + -2) + -5 = 2 + -6
(12 + -20x) + 3(7x + -2) + -5 = 2 + -6

Reorder the terms:
12 + -20x + 3(-2 + 7x) + -5 = 2 + -6
12 + -20x + (-2 * 3 + 7x * 3) + -5 = 2 + -6
12 + -20x + (-6 + 21x) + -5 = 2 + -6

Reorder the terms:
12 + -6 + -5 + -20x + 21x = 2 + -6

Combine like terms: 12 + -6 = 6
6 + -5 + -20x + 21x = 2 + -6

Combine like terms: 6 + -5 = 1
1 + -20x + 21x = 2 + -6

Combine like terms: -20x + 21x = 1x
1 + 1x = 2 + -6

Combine like terms: 2 + -6 = -4
1 + 1x = -4

Solving
1 + 1x = -4

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 1x = -4 + -1

Combine like terms: 1 + -1 = 0
0 + 1x = -4 + -1
1x = -4 + -1

Combine like terms: -4 + -1 = -5
1x = -5

Divide each side by '1'.
x = -5

Simplifying
x = -5

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