(10x+3)=(12x-7)

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Solution for (10x+3)=(12x-7) equation:


Simplifying
(10x + 3) = (12x + -7)

Reorder the terms:
(3 + 10x) = (12x + -7)

Remove parenthesis around (3 + 10x)
3 + 10x = (12x + -7)

Reorder the terms:
3 + 10x = (-7 + 12x)

Remove parenthesis around (-7 + 12x)
3 + 10x = -7 + 12x

Solving
3 + 10x = -7 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
3 + 10x + -12x = -7 + 12x + -12x

Combine like terms: 10x + -12x = -2x
3 + -2x = -7 + 12x + -12x

Combine like terms: 12x + -12x = 0
3 + -2x = -7 + 0
3 + -2x = -7

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

Combine like terms: 3 + -3 = 0
0 + -2x = -7 + -3
-2x = -7 + -3

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

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

Simplifying
x = 5

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