(3x+8)=(4x+10)

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Solution for (3x+8)=(4x+10) equation:


Simplifying
(3x + 8) = (4x + 10)

Reorder the terms:
(8 + 3x) = (4x + 10)

Remove parenthesis around (8 + 3x)
8 + 3x = (4x + 10)

Reorder the terms:
8 + 3x = (10 + 4x)

Remove parenthesis around (10 + 4x)
8 + 3x = 10 + 4x

Solving
8 + 3x = 10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
8 + 3x + -4x = 10 + 4x + -4x

Combine like terms: 3x + -4x = -1x
8 + -1x = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + -1x = 10 + 0
8 + -1x = 10

Add '-8' to each side of the equation.
8 + -8 + -1x = 10 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 10 + -8
-1x = 10 + -8

Combine like terms: 10 + -8 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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