-2(4x-5)+3(3x-1)-1=8-7

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Solution for -2(4x-5)+3(3x-1)-1=8-7 equation: 


Simplifying
-2(4x + -5) + 3(3x + -1) + -1 = 8 + -7

Reorder the terms:
-2(-5 + 4x) + 3(3x + -1) + -1 = 8 + -7
(-5 * -2 + 4x * -2) + 3(3x + -1) + -1 = 8 + -7
(10 + -8x) + 3(3x + -1) + -1 = 8 + -7

Reorder the terms:
10 + -8x + 3(-1 + 3x) + -1 = 8 + -7
10 + -8x + (-1 * 3 + 3x * 3) + -1 = 8 + -7
10 + -8x + (-3 + 9x) + -1 = 8 + -7

Reorder the terms:
10 + -3 + -1 + -8x + 9x = 8 + -7

Combine like terms: 10 + -3 = 7
7 + -1 + -8x + 9x = 8 + -7

Combine like terms: 7 + -1 = 6
6 + -8x + 9x = 8 + -7

Combine like terms: -8x + 9x = 1x
6 + 1x = 8 + -7

Combine like terms: 8 + -7 = 1
6 + 1x = 1

Solving
6 + 1x = 1

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 1x = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 1 + -6
1x = 1 + -6

Combine like terms: 1 + -6 = -5
1x = -5

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

Simplifying
x = -5

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