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

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


Simplifying
4x + 6 = (2x + 6) * 4

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

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

Reorder the terms for easier multiplication:
6 + 4x = 4(6 + 2x)
6 + 4x = (6 * 4 + 2x * 4)
6 + 4x = (24 + 8x)

Solving
6 + 4x = 24 + 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.
6 + 4x + -8x = 24 + 8x + -8x

Combine like terms: 4x + -8x = -4x
6 + -4x = 24 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -4x = 24 + 0
6 + -4x = 24

Add '-6' to each side of the equation.
6 + -6 + -4x = 24 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = 24 + -6
-4x = 24 + -6

Combine like terms: 24 + -6 = 18
-4x = 18

Divide each side by '-4'.
x = -4.5

Simplifying
x = -4.5

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