7(x+4)-13=12+13(3+x)

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Solution for 7(x+4)-13=12+13(3+x) equation: 


Simplifying
7(x + 4) + -13 = 12 + 13(3 + x)

Reorder the terms:
7(4 + x) + -13 = 12 + 13(3 + x)
(4 * 7 + x * 7) + -13 = 12 + 13(3 + x)
(28 + 7x) + -13 = 12 + 13(3 + x)

Reorder the terms:
28 + -13 + 7x = 12 + 13(3 + x)

Combine like terms: 28 + -13 = 15
15 + 7x = 12 + 13(3 + x)
15 + 7x = 12 + (3 * 13 + x * 13)
15 + 7x = 12 + (39 + 13x)

Combine like terms: 12 + 39 = 51
15 + 7x = 51 + 13x

Solving
15 + 7x = 51 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
15 + 7x + -13x = 51 + 13x + -13x

Combine like terms: 7x + -13x = -6x
15 + -6x = 51 + 13x + -13x

Combine like terms: 13x + -13x = 0
15 + -6x = 51 + 0
15 + -6x = 51

Add '-15' to each side of the equation.
15 + -15 + -6x = 51 + -15

Combine like terms: 15 + -15 = 0
0 + -6x = 51 + -15
-6x = 51 + -15

Combine like terms: 51 + -15 = 36
-6x = 36

Divide each side by '-6'.
x = -6

Simplifying
x = -6

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