10x-10-4=3x-27x+2

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Solution for 10x-10-4=3x-27x+2 equation:


Simplifying
10x + -10 + -4 = 3x + -27x + 2

Reorder the terms:
-10 + -4 + 10x = 3x + -27x + 2

Combine like terms: -10 + -4 = -14
-14 + 10x = 3x + -27x + 2

Reorder the terms:
-14 + 10x = 2 + 3x + -27x

Combine like terms: 3x + -27x = -24x
-14 + 10x = 2 + -24x

Solving
-14 + 10x = 2 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
-14 + 10x + 24x = 2 + -24x + 24x

Combine like terms: 10x + 24x = 34x
-14 + 34x = 2 + -24x + 24x

Combine like terms: -24x + 24x = 0
-14 + 34x = 2 + 0
-14 + 34x = 2

Add '14' to each side of the equation.
-14 + 14 + 34x = 2 + 14

Combine like terms: -14 + 14 = 0
0 + 34x = 2 + 14
34x = 2 + 14

Combine like terms: 2 + 14 = 16
34x = 16

Divide each side by '34'.
x = 0.4705882353

Simplifying
x = 0.4705882353

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