x-8=5(4x+5)+5

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


Simplifying
x + -8 = 5(4x + 5) + 5

Reorder the terms:
-8 + x = 5(4x + 5) + 5

Reorder the terms:
-8 + x = 5(5 + 4x) + 5
-8 + x = (5 * 5 + 4x * 5) + 5
-8 + x = (25 + 20x) + 5

Reorder the terms:
-8 + x = 25 + 5 + 20x

Combine like terms: 25 + 5 = 30
-8 + x = 30 + 20x

Solving
-8 + x = 30 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-8 + x + -20x = 30 + 20x + -20x

Combine like terms: x + -20x = -19x
-8 + -19x = 30 + 20x + -20x

Combine like terms: 20x + -20x = 0
-8 + -19x = 30 + 0
-8 + -19x = 30

Add '8' to each side of the equation.
-8 + 8 + -19x = 30 + 8

Combine like terms: -8 + 8 = 0
0 + -19x = 30 + 8
-19x = 30 + 8

Combine like terms: 30 + 8 = 38
-19x = 38

Divide each side by '-19'.
x = -2

Simplifying
x = -2

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