2(x-3)-3(7x-2)=38

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Solution for 2(x-3)-3(7x-2)=38 equation:


Simplifying
2(x + -3) + -3(7x + -2) = 38

Reorder the terms:
2(-3 + x) + -3(7x + -2) = 38
(-3 * 2 + x * 2) + -3(7x + -2) = 38
(-6 + 2x) + -3(7x + -2) = 38

Reorder the terms:
-6 + 2x + -3(-2 + 7x) = 38
-6 + 2x + (-2 * -3 + 7x * -3) = 38
-6 + 2x + (6 + -21x) = 38

Reorder the terms:
-6 + 6 + 2x + -21x = 38

Combine like terms: -6 + 6 = 0
0 + 2x + -21x = 38
2x + -21x = 38

Combine like terms: 2x + -21x = -19x
-19x = 38

Solving
-19x = 38

Solving for variable 'x'.

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

Divide each side by '-19'.
x = -2

Simplifying
x = -2

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