(10x-2x)-(2x+30)=20+3x

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Solution for (10x-2x)-(2x+30)=20+3x equation:


Simplifying
(10x + -2x) + -1(2x + 30) = 20 + 3x

Combine like terms: 10x + -2x = 8x
(8x) + -1(2x + 30) = 20 + 3x
(8x) + -1(2x + 30) = 20 + 3x

Reorder the terms:
(8x) + -1(30 + 2x) = 20 + 3x
(8x) + (30 * -1 + 2x * -1) = 20 + 3x
(8x) + (-30 + -2x) = 20 + 3x

Reorder the terms:
-30 + (8x) + -2x = 20 + 3x

Combine like terms: (8x) + -2x = 6x
-30 + 6x = 20 + 3x

Solving
-30 + 6x = 20 + 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.
-30 + 6x + -3x = 20 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-30 + 3x = 20 + 3x + -3x

Combine like terms: 3x + -3x = 0
-30 + 3x = 20 + 0
-30 + 3x = 20

Add '30' to each side of the equation.
-30 + 30 + 3x = 20 + 30

Combine like terms: -30 + 30 = 0
0 + 3x = 20 + 30
3x = 20 + 30

Combine like terms: 20 + 30 = 50
3x = 50

Divide each side by '3'.
x = 16.66666667

Simplifying
x = 16.66666667

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