16.8x-7-3x+5=4x+12-(x-30)

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Solution for 16.8x-7-3x+5=4x+12-(x-30) equation:


Simplifying
16.8x + -7 + -3x + 5 = 4x + 12 + -1(x + -30)

Reorder the terms:
-7 + 5 + 16.8x + -3x = 4x + 12 + -1(x + -30)

Combine like terms: -7 + 5 = -2
-2 + 16.8x + -3x = 4x + 12 + -1(x + -30)

Combine like terms: 16.8x + -3x = 13.8x
-2 + 13.8x = 4x + 12 + -1(x + -30)

Reorder the terms:
-2 + 13.8x = 4x + 12 + -1(-30 + x)
-2 + 13.8x = 4x + 12 + (-30 * -1 + x * -1)
-2 + 13.8x = 4x + 12 + (30 + -1x)

Reorder the terms:
-2 + 13.8x = 12 + 30 + 4x + -1x

Combine like terms: 12 + 30 = 42
-2 + 13.8x = 42 + 4x + -1x

Combine like terms: 4x + -1x = 3x
-2 + 13.8x = 42 + 3x

Solving
-2 + 13.8x = 42 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-2 + 13.8x + -3x = 42 + 3x + -3x

Combine like terms: 13.8x + -3x = 10.8x
-2 + 10.8x = 42 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + 10.8x = 42 + 0
-2 + 10.8x = 42

Add '2' to each side of the equation.
-2 + 2 + 10.8x = 42 + 2

Combine like terms: -2 + 2 = 0
0 + 10.8x = 42 + 2
10.8x = 42 + 2

Combine like terms: 42 + 2 = 44
10.8x = 44

Divide each side by '10.8'.
x = 4.074074074

Simplifying
x = 4.074074074

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