(3x+8)=(7x+2)

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Solution for (3x+8)=(7x+2) equation:


Simplifying
(3x + 8) = (7x + 2)

Reorder the terms:
(8 + 3x) = (7x + 2)

Remove parenthesis around (8 + 3x)
8 + 3x = (7x + 2)

Reorder the terms:
8 + 3x = (2 + 7x)

Remove parenthesis around (2 + 7x)
8 + 3x = 2 + 7x

Solving
8 + 3x = 2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
8 + 3x + -7x = 2 + 7x + -7x

Combine like terms: 3x + -7x = -4x
8 + -4x = 2 + 7x + -7x

Combine like terms: 7x + -7x = 0
8 + -4x = 2 + 0
8 + -4x = 2

Add '-8' to each side of the equation.
8 + -8 + -4x = 2 + -8

Combine like terms: 8 + -8 = 0
0 + -4x = 2 + -8
-4x = 2 + -8

Combine like terms: 2 + -8 = -6
-4x = -6

Divide each side by '-4'.
x = 1.5

Simplifying
x = 1.5

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