13-4(5x+1)=(7-5x)-15

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Solution for 13-4(5x+1)=(7-5x)-15 equation:


Simplifying
13 + -4(5x + 1) = (7 + -5x) + -15

Reorder the terms:
13 + -4(1 + 5x) = (7 + -5x) + -15
13 + (1 * -4 + 5x * -4) = (7 + -5x) + -15
13 + (-4 + -20x) = (7 + -5x) + -15

Combine like terms: 13 + -4 = 9
9 + -20x = (7 + -5x) + -15

Remove parenthesis around (7 + -5x)
9 + -20x = 7 + -5x + -15

Reorder the terms:
9 + -20x = 7 + -15 + -5x

Combine like terms: 7 + -15 = -8
9 + -20x = -8 + -5x

Solving
9 + -20x = -8 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
9 + -20x + 5x = -8 + -5x + 5x

Combine like terms: -20x + 5x = -15x
9 + -15x = -8 + -5x + 5x

Combine like terms: -5x + 5x = 0
9 + -15x = -8 + 0
9 + -15x = -8

Add '-9' to each side of the equation.
9 + -9 + -15x = -8 + -9

Combine like terms: 9 + -9 = 0
0 + -15x = -8 + -9
-15x = -8 + -9

Combine like terms: -8 + -9 = -17
-15x = -17

Divide each side by '-15'.
x = 1.133333333

Simplifying
x = 1.133333333

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