2x-4(5x+1)=3x+17

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Solution for 2x-4(5x+1)=3x+17 equation:


Simplifying
2x + -4(5x + 1) = 3x + 17

Reorder the terms:
2x + -4(1 + 5x) = 3x + 17
2x + (1 * -4 + 5x * -4) = 3x + 17
2x + (-4 + -20x) = 3x + 17

Reorder the terms:
-4 + 2x + -20x = 3x + 17

Combine like terms: 2x + -20x = -18x
-4 + -18x = 3x + 17

Reorder the terms:
-4 + -18x = 17 + 3x

Solving
-4 + -18x = 17 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-4 + -18x + -3x = 17 + 3x + -3x

Combine like terms: -18x + -3x = -21x
-4 + -21x = 17 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + -21x = 17 + 0
-4 + -21x = 17

Add '4' to each side of the equation.
-4 + 4 + -21x = 17 + 4

Combine like terms: -4 + 4 = 0
0 + -21x = 17 + 4
-21x = 17 + 4

Combine like terms: 17 + 4 = 21
-21x = 21

Divide each side by '-21'.
x = -1

Simplifying
x = -1

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