-10(2x-2)+7(3x-1)-3=5-3

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Solution for -10(2x-2)+7(3x-1)-3=5-3 equation: 


Simplifying
-10(2x + -2) + 7(3x + -1) + -3 = 5 + -3

Reorder the terms:
-10(-2 + 2x) + 7(3x + -1) + -3 = 5 + -3
(-2 * -10 + 2x * -10) + 7(3x + -1) + -3 = 5 + -3
(20 + -20x) + 7(3x + -1) + -3 = 5 + -3

Reorder the terms:
20 + -20x + 7(-1 + 3x) + -3 = 5 + -3
20 + -20x + (-1 * 7 + 3x * 7) + -3 = 5 + -3
20 + -20x + (-7 + 21x) + -3 = 5 + -3

Reorder the terms:
20 + -7 + -3 + -20x + 21x = 5 + -3

Combine like terms: 20 + -7 = 13
13 + -3 + -20x + 21x = 5 + -3

Combine like terms: 13 + -3 = 10
10 + -20x + 21x = 5 + -3

Combine like terms: -20x + 21x = 1x
10 + 1x = 5 + -3

Combine like terms: 5 + -3 = 2
10 + 1x = 2

Solving
10 + 1x = 2

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 1x = 2 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 2 + -10
1x = 2 + -10

Combine like terms: 2 + -10 = -8
1x = -8

Divide each side by '1'.
x = -8

Simplifying
x = -8

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