(6x-3)-(2x+8)=25+3x

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Solution for (6x-3)-(2x+8)=25+3x equation:


Simplifying
(6x + -3) + -1(2x + 8) = 25 + 3x

Reorder the terms:
(-3 + 6x) + -1(2x + 8) = 25 + 3x

Remove parenthesis around (-3 + 6x)
-3 + 6x + -1(2x + 8) = 25 + 3x

Reorder the terms:
-3 + 6x + -1(8 + 2x) = 25 + 3x
-3 + 6x + (8 * -1 + 2x * -1) = 25 + 3x
-3 + 6x + (-8 + -2x) = 25 + 3x

Reorder the terms:
-3 + -8 + 6x + -2x = 25 + 3x

Combine like terms: -3 + -8 = -11
-11 + 6x + -2x = 25 + 3x

Combine like terms: 6x + -2x = 4x
-11 + 4x = 25 + 3x

Solving
-11 + 4x = 25 + 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.
-11 + 4x + -3x = 25 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-11 + 1x = 25 + 3x + -3x

Combine like terms: 3x + -3x = 0
-11 + 1x = 25 + 0
-11 + 1x = 25

Add '11' to each side of the equation.
-11 + 11 + 1x = 25 + 11

Combine like terms: -11 + 11 = 0
0 + 1x = 25 + 11
1x = 25 + 11

Combine like terms: 25 + 11 = 36
1x = 36

Divide each side by '1'.
x = 36

Simplifying
x = 36

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