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

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


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

Reorder the terms:
3(4 + 2x) = 4(2x + 3) + 5(3x + 4)
(4 * 3 + 2x * 3) = 4(2x + 3) + 5(3x + 4)
(12 + 6x) = 4(2x + 3) + 5(3x + 4)

Reorder the terms:
12 + 6x = 4(3 + 2x) + 5(3x + 4)
12 + 6x = (3 * 4 + 2x * 4) + 5(3x + 4)
12 + 6x = (12 + 8x) + 5(3x + 4)

Reorder the terms:
12 + 6x = 12 + 8x + 5(4 + 3x)
12 + 6x = 12 + 8x + (4 * 5 + 3x * 5)
12 + 6x = 12 + 8x + (20 + 15x)

Reorder the terms:
12 + 6x = 12 + 20 + 8x + 15x

Combine like terms: 12 + 20 = 32
12 + 6x = 32 + 8x + 15x

Combine like terms: 8x + 15x = 23x
12 + 6x = 32 + 23x

Solving
12 + 6x = 32 + 23x

Solving for variable 'x'.

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

Add '-23x' to each side of the equation.
12 + 6x + -23x = 32 + 23x + -23x

Combine like terms: 6x + -23x = -17x
12 + -17x = 32 + 23x + -23x

Combine like terms: 23x + -23x = 0
12 + -17x = 32 + 0
12 + -17x = 32

Add '-12' to each side of the equation.
12 + -12 + -17x = 32 + -12

Combine like terms: 12 + -12 = 0
0 + -17x = 32 + -12
-17x = 32 + -12

Combine like terms: 32 + -12 = 20
-17x = 20

Divide each side by '-17'.
x = -1.176470588

Simplifying
x = -1.176470588

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