3x+16(3x+2)=4(x+3)

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Solution for 3x+16(3x+2)=4(x+3) equation:


Simplifying
3x + 16(3x + 2) = 4(x + 3)

Reorder the terms:
3x + 16(2 + 3x) = 4(x + 3)
3x + (2 * 16 + 3x * 16) = 4(x + 3)
3x + (32 + 48x) = 4(x + 3)

Reorder the terms:
32 + 3x + 48x = 4(x + 3)

Combine like terms: 3x + 48x = 51x
32 + 51x = 4(x + 3)

Reorder the terms:
32 + 51x = 4(3 + x)
32 + 51x = (3 * 4 + x * 4)
32 + 51x = (12 + 4x)

Solving
32 + 51x = 12 + 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.
32 + 51x + -4x = 12 + 4x + -4x

Combine like terms: 51x + -4x = 47x
32 + 47x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
32 + 47x = 12 + 0
32 + 47x = 12

Add '-32' to each side of the equation.
32 + -32 + 47x = 12 + -32

Combine like terms: 32 + -32 = 0
0 + 47x = 12 + -32
47x = 12 + -32

Combine like terms: 12 + -32 = -20
47x = -20

Divide each side by '47'.
x = -0.4255319149

Simplifying
x = -0.4255319149

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