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

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


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

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

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

Combine like terms: 5x + 3x = 8x
12 + 8x = 4(x + 2)

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

Solving
12 + 8x = 8 + 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.
12 + 8x + -4x = 8 + 4x + -4x

Combine like terms: 8x + -4x = 4x
12 + 4x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + 4x = 8 + 0
12 + 4x = 8

Add '-12' to each side of the equation.
12 + -12 + 4x = 8 + -12

Combine like terms: 12 + -12 = 0
0 + 4x = 8 + -12
4x = 8 + -12

Combine like terms: 8 + -12 = -4
4x = -4

Divide each side by '4'.
x = -1

Simplifying
x = -1

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