(4x-6)=(3x+8)

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Solution for (4x-6)=(3x+8) equation:


Simplifying
(4x + -6) = (3x + 8)

Reorder the terms:
(-6 + 4x) = (3x + 8)

Remove parenthesis around (-6 + 4x)
-6 + 4x = (3x + 8)

Reorder the terms:
-6 + 4x = (8 + 3x)

Remove parenthesis around (8 + 3x)
-6 + 4x = 8 + 3x

Solving
-6 + 4x = 8 + 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.
-6 + 4x + -3x = 8 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-6 + 1x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + 1x = 8 + 0
-6 + 1x = 8

Add '6' to each side of the equation.
-6 + 6 + 1x = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = 8 + 6
1x = 8 + 6

Combine like terms: 8 + 6 = 14
1x = 14

Divide each side by '1'.
x = 14

Simplifying
x = 14

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