(-6x+16)-13x-3=(2x+5)+20x+15

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Solution for (-6x+16)-13x-3=(2x+5)+20x+15 equation:


Simplifying
(-6x + 16) + -13x + -3 = (2x + 5) + 20x + 15

Reorder the terms:
(16 + -6x) + -13x + -3 = (2x + 5) + 20x + 15

Remove parenthesis around (16 + -6x)
16 + -6x + -13x + -3 = (2x + 5) + 20x + 15

Reorder the terms:
16 + -3 + -6x + -13x = (2x + 5) + 20x + 15

Combine like terms: 16 + -3 = 13
13 + -6x + -13x = (2x + 5) + 20x + 15

Combine like terms: -6x + -13x = -19x
13 + -19x = (2x + 5) + 20x + 15

Reorder the terms:
13 + -19x = (5 + 2x) + 20x + 15

Remove parenthesis around (5 + 2x)
13 + -19x = 5 + 2x + 20x + 15

Reorder the terms:
13 + -19x = 5 + 15 + 2x + 20x

Combine like terms: 5 + 15 = 20
13 + -19x = 20 + 2x + 20x

Combine like terms: 2x + 20x = 22x
13 + -19x = 20 + 22x

Solving
13 + -19x = 20 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
13 + -19x + -22x = 20 + 22x + -22x

Combine like terms: -19x + -22x = -41x
13 + -41x = 20 + 22x + -22x

Combine like terms: 22x + -22x = 0
13 + -41x = 20 + 0
13 + -41x = 20

Add '-13' to each side of the equation.
13 + -13 + -41x = 20 + -13

Combine like terms: 13 + -13 = 0
0 + -41x = 20 + -13
-41x = 20 + -13

Combine like terms: 20 + -13 = 7
-41x = 7

Divide each side by '-41'.
x = -0.1707317073

Simplifying
x = -0.1707317073

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