2(3x-2)=8x-14

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Solution for 2(3x-2)=8x-14 equation:


Simplifying
2(3x + -2) = 8x + -14

Reorder the terms:
2(-2 + 3x) = 8x + -14
(-2 * 2 + 3x * 2) = 8x + -14
(-4 + 6x) = 8x + -14

Reorder the terms:
-4 + 6x = -14 + 8x

Solving
-4 + 6x = -14 + 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.
-4 + 6x + -8x = -14 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-4 + -2x = -14 + 8x + -8x

Combine like terms: 8x + -8x = 0
-4 + -2x = -14 + 0
-4 + -2x = -14

Add '4' to each side of the equation.
-4 + 4 + -2x = -14 + 4

Combine like terms: -4 + 4 = 0
0 + -2x = -14 + 4
-2x = -14 + 4

Combine like terms: -14 + 4 = -10
-2x = -10

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

Simplifying
x = 5

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