-4(5x-7)+3(7x-1)-7=7-8

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Solution for -4(5x-7)+3(7x-1)-7=7-8 equation:


Simplifying
-4(5x + -7) + 3(7x + -1) + -7 = 7 + -8

Reorder the terms:
-4(-7 + 5x) + 3(7x + -1) + -7 = 7 + -8
(-7 * -4 + 5x * -4) + 3(7x + -1) + -7 = 7 + -8
(28 + -20x) + 3(7x + -1) + -7 = 7 + -8

Reorder the terms:
28 + -20x + 3(-1 + 7x) + -7 = 7 + -8
28 + -20x + (-1 * 3 + 7x * 3) + -7 = 7 + -8
28 + -20x + (-3 + 21x) + -7 = 7 + -8

Reorder the terms:
28 + -3 + -7 + -20x + 21x = 7 + -8

Combine like terms: 28 + -3 = 25
25 + -7 + -20x + 21x = 7 + -8

Combine like terms: 25 + -7 = 18
18 + -20x + 21x = 7 + -8

Combine like terms: -20x + 21x = 1x
18 + 1x = 7 + -8

Combine like terms: 7 + -8 = -1
18 + 1x = -1

Solving
18 + 1x = -1

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 1x = -1 + -18

Combine like terms: 18 + -18 = 0
0 + 1x = -1 + -18
1x = -1 + -18

Combine like terms: -1 + -18 = -19
1x = -19

Divide each side by '1'.
x = -19

Simplifying
x = -19

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