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

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


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

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

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

Combine like terms: 2x + 3x = 5x
12 + 5x = 4(2x + 3)

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

Add '-12' to each side of the equation.
12 + -12 + 5x = 12 + -12 + 8x

Combine like terms: 12 + -12 = 0
0 + 5x = 12 + -12 + 8x
5x = 12 + -12 + 8x

Combine like terms: 12 + -12 = 0
5x = 0 + 8x
5x = 8x

Solving
5x = 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.
5x + -8x = 8x + -8x

Combine like terms: 5x + -8x = -3x
-3x = 8x + -8x

Combine like terms: 8x + -8x = 0
-3x = 0

Divide each side by '-3'.
x = 0

Simplifying
x = 0

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