4(-7x+5)+8=3(-9x-1)-2

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Solution for 4(-7x+5)+8=3(-9x-1)-2 equation: 


Simplifying
4(-7x + 5) + 8 = 3(-9x + -1) + -2

Reorder the terms:
4(5 + -7x) + 8 = 3(-9x + -1) + -2
(5 * 4 + -7x * 4) + 8 = 3(-9x + -1) + -2
(20 + -28x) + 8 = 3(-9x + -1) + -2

Reorder the terms:
20 + 8 + -28x = 3(-9x + -1) + -2

Combine like terms: 20 + 8 = 28
28 + -28x = 3(-9x + -1) + -2

Reorder the terms:
28 + -28x = 3(-1 + -9x) + -2
28 + -28x = (-1 * 3 + -9x * 3) + -2
28 + -28x = (-3 + -27x) + -2

Reorder the terms:
28 + -28x = -3 + -2 + -27x

Combine like terms: -3 + -2 = -5
28 + -28x = -5 + -27x

Solving
28 + -28x = -5 + -27x

Solving for variable 'x'.

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

Add '27x' to each side of the equation.
28 + -28x + 27x = -5 + -27x + 27x

Combine like terms: -28x + 27x = -1x
28 + -1x = -5 + -27x + 27x

Combine like terms: -27x + 27x = 0
28 + -1x = -5 + 0
28 + -1x = -5

Add '-28' to each side of the equation.
28 + -28 + -1x = -5 + -28

Combine like terms: 28 + -28 = 0
0 + -1x = -5 + -28
-1x = -5 + -28

Combine like terms: -5 + -28 = -33
-1x = -33

Divide each side by '-1'.
x = 33

Simplifying
x = 33

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