3(x-6)-2(x+14)=2x+17

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Solution for 3(x-6)-2(x+14)=2x+17 equation:


Simplifying
3(x + -6) + -2(x + 14) = 2x + 17

Reorder the terms:
3(-6 + x) + -2(x + 14) = 2x + 17
(-6 * 3 + x * 3) + -2(x + 14) = 2x + 17
(-18 + 3x) + -2(x + 14) = 2x + 17

Reorder the terms:
-18 + 3x + -2(14 + x) = 2x + 17
-18 + 3x + (14 * -2 + x * -2) = 2x + 17
-18 + 3x + (-28 + -2x) = 2x + 17

Reorder the terms:
-18 + -28 + 3x + -2x = 2x + 17

Combine like terms: -18 + -28 = -46
-46 + 3x + -2x = 2x + 17

Combine like terms: 3x + -2x = 1x
-46 + 1x = 2x + 17

Reorder the terms:
-46 + 1x = 17 + 2x

Solving
-46 + 1x = 17 + 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.
-46 + 1x + -2x = 17 + 2x + -2x

Combine like terms: 1x + -2x = -1x
-46 + -1x = 17 + 2x + -2x

Combine like terms: 2x + -2x = 0
-46 + -1x = 17 + 0
-46 + -1x = 17

Add '46' to each side of the equation.
-46 + 46 + -1x = 17 + 46

Combine like terms: -46 + 46 = 0
0 + -1x = 17 + 46
-1x = 17 + 46

Combine like terms: 17 + 46 = 63
-1x = 63

Divide each side by '-1'.
x = -63

Simplifying
x = -63

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