(4x-10)=(3x+2)

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Solution for (4x-10)=(3x+2) equation:


Simplifying
(4x + -10) = (3x + 2)

Reorder the terms:
(-10 + 4x) = (3x + 2)

Remove parenthesis around (-10 + 4x)
-10 + 4x = (3x + 2)

Reorder the terms:
-10 + 4x = (2 + 3x)

Remove parenthesis around (2 + 3x)
-10 + 4x = 2 + 3x

Solving
-10 + 4x = 2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-10 + 4x + -3x = 2 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-10 + 1x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + 1x = 2 + 0
-10 + 1x = 2

Add '10' to each side of the equation.
-10 + 10 + 1x = 2 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = 2 + 10
1x = 2 + 10

Combine like terms: 2 + 10 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12

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