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

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


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

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

Reorder the terms:
-2 + 3x = 8(-2 + x) + 4
-2 + 3x = (-2 * 8 + x * 8) + 4
-2 + 3x = (-16 + 8x) + 4

Reorder the terms:
-2 + 3x = -16 + 4 + 8x

Combine like terms: -16 + 4 = -12
-2 + 3x = -12 + 8x

Solving
-2 + 3x = -12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-2 + 3x + -8x = -12 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-2 + -5x = -12 + 8x + -8x

Combine like terms: 8x + -8x = 0
-2 + -5x = -12 + 0
-2 + -5x = -12

Add '2' to each side of the equation.
-2 + 2 + -5x = -12 + 2

Combine like terms: -2 + 2 = 0
0 + -5x = -12 + 2
-5x = -12 + 2

Combine like terms: -12 + 2 = -10
-5x = -10

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

Simplifying
x = 2

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