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

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


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

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

Remove parenthesis around (2 + 4x)
2 + 4x + -1(3x + -8) = 3x

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

Reorder the terms:
2 + 8 + 4x + -3x = 3x

Combine like terms: 2 + 8 = 10
10 + 4x + -3x = 3x

Combine like terms: 4x + -3x = 1x
10 + 1x = 3x

Solving
10 + 1x = 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.
10 + 1x + -3x = 3x + -3x

Combine like terms: 1x + -3x = -2x
10 + -2x = 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -2x = 0

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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