(4x-12)+16=(10x-30)

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Solution for (4x-12)+16=(10x-30) equation:


Simplifying
(4x + -12) + 16 = (10x + -30)

Reorder the terms:
(-12 + 4x) + 16 = (10x + -30)

Remove parenthesis around (-12 + 4x)
-12 + 4x + 16 = (10x + -30)

Reorder the terms:
-12 + 16 + 4x = (10x + -30)

Combine like terms: -12 + 16 = 4
4 + 4x = (10x + -30)

Reorder the terms:
4 + 4x = (-30 + 10x)

Remove parenthesis around (-30 + 10x)
4 + 4x = -30 + 10x

Solving
4 + 4x = -30 + 10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10x' to each side of the equation.
4 + 4x + -10x = -30 + 10x + -10x

Combine like terms: 4x + -10x = -6x
4 + -6x = -30 + 10x + -10x

Combine like terms: 10x + -10x = 0
4 + -6x = -30 + 0
4 + -6x = -30

Add '-4' to each side of the equation.
4 + -4 + -6x = -30 + -4

Combine like terms: 4 + -4 = 0
0 + -6x = -30 + -4
-6x = -30 + -4

Combine like terms: -30 + -4 = -34
-6x = -34

Divide each side by '-6'.
x = 5.666666667

Simplifying
x = 5.666666667

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