(3x+10)=(5x+2)

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Solution for (3x+10)=(5x+2) equation:


Simplifying
(3x + 10) = (5x + 2)

Reorder the terms:
(10 + 3x) = (5x + 2)

Remove parenthesis around (10 + 3x)
10 + 3x = (5x + 2)

Reorder the terms:
10 + 3x = (2 + 5x)

Remove parenthesis around (2 + 5x)
10 + 3x = 2 + 5x

Solving
10 + 3x = 2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
10 + 3x + -5x = 2 + 5x + -5x

Combine like terms: 3x + -5x = -2x
10 + -2x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -2x = 2 + 0
10 + -2x = 2

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

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

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

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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