3x-2+x=5+7x-3

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Solution for 3x-2+x=5+7x-3 equation:


Simplifying
3x + -2 + x = 5 + 7x + -3

Reorder the terms:
-2 + 3x + x = 5 + 7x + -3

Combine like terms: 3x + x = 4x
-2 + 4x = 5 + 7x + -3

Reorder the terms:
-2 + 4x = 5 + -3 + 7x

Combine like terms: 5 + -3 = 2
-2 + 4x = 2 + 7x

Solving
-2 + 4x = 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.
-2 + 4x + -7x = 2 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
-2 + -3x = 2 + 0
-2 + -3x = 2

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

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

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

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333

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