5(3x+6)=4(2x+11)

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Solution for 5(3x+6)=4(2x+11) equation:


Simplifying
5(3x + 6) = 4(2x + 11)

Reorder the terms:
5(6 + 3x) = 4(2x + 11)
(6 * 5 + 3x * 5) = 4(2x + 11)
(30 + 15x) = 4(2x + 11)

Reorder the terms:
30 + 15x = 4(11 + 2x)
30 + 15x = (11 * 4 + 2x * 4)
30 + 15x = (44 + 8x)

Solving
30 + 15x = 44 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
30 + 15x + -8x = 44 + 8x + -8x

Combine like terms: 15x + -8x = 7x
30 + 7x = 44 + 8x + -8x

Combine like terms: 8x + -8x = 0
30 + 7x = 44 + 0
30 + 7x = 44

Add '-30' to each side of the equation.
30 + -30 + 7x = 44 + -30

Combine like terms: 30 + -30 = 0
0 + 7x = 44 + -30
7x = 44 + -30

Combine like terms: 44 + -30 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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