6(x+5)=(4*x)+13

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Solution for 6(x+5)=(4*x)+13 equation: 


Simplifying
6(x + 5) = (4x) + 13

Reorder the terms:
6(5 + x) = (4x) + 13
(5 * 6 + x * 6) = (4x) + 13
(30 + 6x) = (4x) + 13

Reorder the terms:
30 + 6x = 13 + (4x)

Solving
30 + 6x = 13 + (4x)

Solving for variable 'x'.

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

Add '(-4x)' to each side of the equation.
30 + 6x + (-4x) = 13 + (4x) + (-4x)

Combine like terms: 6x + (-4x) = 2x
30 + 2x = 13 + (4x) + (-4x)

Combine like terms: (4x) + (-4x) = 0
30 + 2x = 13 + 0
30 + 2x = 13

Add '-30' to each side of the equation.
30 + -30 + 2x = 13 + -30

Combine like terms: 30 + -30 = 0
0 + 2x = 13 + -30
2x = 13 + -30

Combine like terms: 13 + -30 = -17
2x = -17

Divide each side by '2'.
x = -8.5

Simplifying
x = -8.5

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