4(x+4)+3x=6(x+13)

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Solution for 4(x+4)+3x=6(x+13) equation: 


Simplifying
4(x + 4) + 3x = 6(x + 13)

Reorder the terms:
4(4 + x) + 3x = 6(x + 13)
(4 * 4 + x * 4) + 3x = 6(x + 13)
(16 + 4x) + 3x = 6(x + 13)

Combine like terms: 4x + 3x = 7x
16 + 7x = 6(x + 13)

Reorder the terms:
16 + 7x = 6(13 + x)
16 + 7x = (13 * 6 + x * 6)
16 + 7x = (78 + 6x)

Solving
16 + 7x = 78 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
16 + 7x + -6x = 78 + 6x + -6x

Combine like terms: 7x + -6x = 1x
16 + 1x = 78 + 6x + -6x

Combine like terms: 6x + -6x = 0
16 + 1x = 78 + 0
16 + 1x = 78

Add '-16' to each side of the equation.
16 + -16 + 1x = 78 + -16

Combine like terms: 16 + -16 = 0
0 + 1x = 78 + -16
1x = 78 + -16

Combine like terms: 78 + -16 = 62
1x = 62

Divide each side by '1'.
x = 62

Simplifying
x = 62

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