4(2x-3)+(x-4)=2(2x+6)

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Solution for 4(2x-3)+(x-4)=2(2x+6) equation:


Simplifying
4(2x + -3) + (x + -4) = 2(2x + 6)

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

Reorder the terms:
-12 + 8x + (-4 + x) = 2(2x + 6)

Remove parenthesis around (-4 + x)
-12 + 8x + -4 + x = 2(2x + 6)

Reorder the terms:
-12 + -4 + 8x + x = 2(2x + 6)

Combine like terms: -12 + -4 = -16
-16 + 8x + x = 2(2x + 6)

Combine like terms: 8x + x = 9x
-16 + 9x = 2(2x + 6)

Reorder the terms:
-16 + 9x = 2(6 + 2x)
-16 + 9x = (6 * 2 + 2x * 2)
-16 + 9x = (12 + 4x)

Solving
-16 + 9x = 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.
-16 + 9x + -4x = 12 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-16 + 5x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-16 + 5x = 12 + 0
-16 + 5x = 12

Add '16' to each side of the equation.
-16 + 16 + 5x = 12 + 16

Combine like terms: -16 + 16 = 0
0 + 5x = 12 + 16
5x = 12 + 16

Combine like terms: 12 + 16 = 28
5x = 28

Divide each side by '5'.
x = 5.6

Simplifying
x = 5.6

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