(x*3)+2=(x*7)-10

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Solution for (x*3)+2=(x*7)-10 equation: 


Simplifying
(x * 3) + 2 = (x * 7) + -10

Reorder the terms for easier multiplication:
(3x) + 2 = (x * 7) + -10

Reorder the terms:
2 + (3x) = (x * 7) + -10

Reorder the terms for easier multiplication:
2 + (3x) = (7x) + -10

Reorder the terms:
2 + (3x) = -10 + (7x)

Solving
2 + (3x) = -10 + (7x)

Solving for variable 'x'.

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

Add '(-7x)' to each side of the equation.
2 + (3x) + (-7x) = -10 + (7x) + (-7x)

Combine like terms: (3x) + (-7x) = -4x
2 + -4x = -10 + (7x) + (-7x)

Combine like terms: (7x) + (-7x) = 0
2 + -4x = -10 + 0
2 + -4x = -10

Add '-2' to each side of the equation.
2 + -2 + -4x = -10 + -2

Combine like terms: 2 + -2 = 0
0 + -4x = -10 + -2
-4x = -10 + -2

Combine like terms: -10 + -2 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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