7(x+4)=6(2x+13)

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Solution for 7(x+4)=6(2x+13) equation:


Simplifying
7(x + 4) = 6(2x + 13)

Reorder the terms:
7(4 + x) = 6(2x + 13)
(4 * 7 + x * 7) = 6(2x + 13)
(28 + 7x) = 6(2x + 13)

Reorder the terms:
28 + 7x = 6(13 + 2x)
28 + 7x = (13 * 6 + 2x * 6)
28 + 7x = (78 + 12x)

Solving
28 + 7x = 78 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
28 + 7x + -12x = 78 + 12x + -12x

Combine like terms: 7x + -12x = -5x
28 + -5x = 78 + 12x + -12x

Combine like terms: 12x + -12x = 0
28 + -5x = 78 + 0
28 + -5x = 78

Add '-28' to each side of the equation.
28 + -28 + -5x = 78 + -28

Combine like terms: 28 + -28 = 0
0 + -5x = 78 + -28
-5x = 78 + -28

Combine like terms: 78 + -28 = 50
-5x = 50

Divide each side by '-5'.
x = -10

Simplifying
x = -10

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