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

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


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

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

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

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

Solving
-8 + 6x = -4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-8 + 6x + -2x = -4 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-8 + 4x = -4 + 2x + -2x

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

Add '8' to each side of the equation.
-8 + 8 + 4x = -4 + 8

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

Combine like terms: -4 + 8 = 4
4x = 4

Divide each side by '4'.
x = 1

Simplifying
x = 1

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