(4x-2x+8)-(x+3x-2)=

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Solution for (4x-2x+8)-(x+3x-2)= equation:


Simplifying
(4x + -2x + 8) + -1(x + 3x + -2) = 0

Reorder the terms:
(8 + 4x + -2x) + -1(x + 3x + -2) = 0

Combine like terms: 4x + -2x = 2x
(8 + 2x) + -1(x + 3x + -2) = 0

Remove parenthesis around (8 + 2x)
8 + 2x + -1(x + 3x + -2) = 0

Reorder the terms:
8 + 2x + -1(-2 + x + 3x) = 0

Combine like terms: x + 3x = 4x
8 + 2x + -1(-2 + 4x) = 0
8 + 2x + (-2 * -1 + 4x * -1) = 0
8 + 2x + (2 + -4x) = 0

Reorder the terms:
8 + 2 + 2x + -4x = 0

Combine like terms: 8 + 2 = 10
10 + 2x + -4x = 0

Combine like terms: 2x + -4x = -2x
10 + -2x = 0

Solving
10 + -2x = 0

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + -2x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 0 + -10
-2x = 0 + -10

Combine like terms: 0 + -10 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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