3(x-4)-2=2x+6.9

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Solution for 3(x-4)-2=2x+6.9 equation:


Simplifying
3(x + -4) + -2 = 2x + 6.9

Reorder the terms:
3(-4 + x) + -2 = 2x + 6.9
(-4 * 3 + x * 3) + -2 = 2x + 6.9
(-12 + 3x) + -2 = 2x + 6.9

Reorder the terms:
-12 + -2 + 3x = 2x + 6.9

Combine like terms: -12 + -2 = -14
-14 + 3x = 2x + 6.9

Reorder the terms:
-14 + 3x = 6.9 + 2x

Solving
-14 + 3x = 6.9 + 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.
-14 + 3x + -2x = 6.9 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-14 + 1x = 6.9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-14 + 1x = 6.9 + 0
-14 + 1x = 6.9

Add '14' to each side of the equation.
-14 + 14 + 1x = 6.9 + 14

Combine like terms: -14 + 14 = 0
0 + 1x = 6.9 + 14
1x = 6.9 + 14

Combine like terms: 6.9 + 14 = 20.9
1x = 20.9

Divide each side by '1'.
x = 20.9

Simplifying
x = 20.9

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