4(4x+6)=3(2x+18)

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Solution for 4(4x+6)=3(2x+18) equation:


Simplifying
4(4x + 6) = 3(2x + 18)

Reorder the terms:
4(6 + 4x) = 3(2x + 18)
(6 * 4 + 4x * 4) = 3(2x + 18)
(24 + 16x) = 3(2x + 18)

Reorder the terms:
24 + 16x = 3(18 + 2x)
24 + 16x = (18 * 3 + 2x * 3)
24 + 16x = (54 + 6x)

Solving
24 + 16x = 54 + 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.
24 + 16x + -6x = 54 + 6x + -6x

Combine like terms: 16x + -6x = 10x
24 + 10x = 54 + 6x + -6x

Combine like terms: 6x + -6x = 0
24 + 10x = 54 + 0
24 + 10x = 54

Add '-24' to each side of the equation.
24 + -24 + 10x = 54 + -24

Combine like terms: 24 + -24 = 0
0 + 10x = 54 + -24
10x = 54 + -24

Combine like terms: 54 + -24 = 30
10x = 30

Divide each side by '10'.
x = 3

Simplifying
x = 3

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