6(x+5)=4(x+11)

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Solution for 6(x+5)=4(x+11) equation:


Simplifying
6(x + 5) = 4(x + 11)

Reorder the terms:
6(5 + x) = 4(x + 11)
(5 * 6 + x * 6) = 4(x + 11)
(30 + 6x) = 4(x + 11)

Reorder the terms:
30 + 6x = 4(11 + x)
30 + 6x = (11 * 4 + x * 4)
30 + 6x = (44 + 4x)

Solving
30 + 6x = 44 + 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 = 44 + 4x + -4x

Combine like terms: 6x + -4x = 2x
30 + 2x = 44 + 4x + -4x

Combine like terms: 4x + -4x = 0
30 + 2x = 44 + 0
30 + 2x = 44

Add '-30' to each side of the equation.
30 + -30 + 2x = 44 + -30

Combine like terms: 30 + -30 = 0
0 + 2x = 44 + -30
2x = 44 + -30

Combine like terms: 44 + -30 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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