2(3x+4)+2(x-1)=4(x+4)

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Solution for 2(3x+4)+2(x-1)=4(x+4) equation:


Simplifying
2(3x + 4) + 2(x + -1) = 4(x + 4)

Reorder the terms:
2(4 + 3x) + 2(x + -1) = 4(x + 4)
(4 * 2 + 3x * 2) + 2(x + -1) = 4(x + 4)
(8 + 6x) + 2(x + -1) = 4(x + 4)

Reorder the terms:
8 + 6x + 2(-1 + x) = 4(x + 4)
8 + 6x + (-1 * 2 + x * 2) = 4(x + 4)
8 + 6x + (-2 + 2x) = 4(x + 4)

Reorder the terms:
8 + -2 + 6x + 2x = 4(x + 4)

Combine like terms: 8 + -2 = 6
6 + 6x + 2x = 4(x + 4)

Combine like terms: 6x + 2x = 8x
6 + 8x = 4(x + 4)

Reorder the terms:
6 + 8x = 4(4 + x)
6 + 8x = (4 * 4 + x * 4)
6 + 8x = (16 + 4x)

Solving
6 + 8x = 16 + 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.
6 + 8x + -4x = 16 + 4x + -4x

Combine like terms: 8x + -4x = 4x
6 + 4x = 16 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + 4x = 16 + 0
6 + 4x = 16

Add '-6' to each side of the equation.
6 + -6 + 4x = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 16 + -6
4x = 16 + -6

Combine like terms: 16 + -6 = 10
4x = 10

Divide each side by '4'.
x = 2.5

Simplifying
x = 2.5

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