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

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


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

Reorder the terms:
3(2 + x) + -8 = 3x + -1(4x + -2)
(2 * 3 + x * 3) + -8 = 3x + -1(4x + -2)
(6 + 3x) + -8 = 3x + -1(4x + -2)

Reorder the terms:
6 + -8 + 3x = 3x + -1(4x + -2)

Combine like terms: 6 + -8 = -2
-2 + 3x = 3x + -1(4x + -2)

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

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

Combine like terms: 3x + -4x = -1x
-2 + 3x = 2 + -1x

Solving
-2 + 3x = 2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-2 + 3x + x = 2 + -1x + x

Combine like terms: 3x + x = 4x
-2 + 4x = 2 + -1x + x

Combine like terms: -1x + x = 0
-2 + 4x = 2 + 0
-2 + 4x = 2

Add '2' to each side of the equation.
-2 + 2 + 4x = 2 + 2

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

Combine like terms: 2 + 2 = 4
4x = 4

Divide each side by '4'.
x = 1

Simplifying
x = 1

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