13[x+6]-3=3x-5

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Solution for 13[x+6]-3=3x-5 equation:


Simplifying
13[x + 6] + -3 = 3x + -5

Reorder the terms:
13[6 + x] + -3 = 3x + -5
[6 * 13 + x * 13] + -3 = 3x + -5
[78 + 13x] + -3 = 3x + -5

Reorder the terms:
78 + -3 + 13x = 3x + -5

Combine like terms: 78 + -3 = 75
75 + 13x = 3x + -5

Reorder the terms:
75 + 13x = -5 + 3x

Solving
75 + 13x = -5 + 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.
75 + 13x + -3x = -5 + 3x + -3x

Combine like terms: 13x + -3x = 10x
75 + 10x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
75 + 10x = -5 + 0
75 + 10x = -5

Add '-75' to each side of the equation.
75 + -75 + 10x = -5 + -75

Combine like terms: 75 + -75 = 0
0 + 10x = -5 + -75
10x = -5 + -75

Combine like terms: -5 + -75 = -80
10x = -80

Divide each side by '10'.
x = -8

Simplifying
x = -8

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