3x-2=-7x+8

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Solution for 3x-2=-7x+8 equation:


Simplifying
3x + -2 = -7x + 8

Reorder the terms:
-2 + 3x = -7x + 8

Reorder the terms:
-2 + 3x = 8 + -7x

Solving
-2 + 3x = 8 + -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 + 3x + 7x = 8 + -7x + 7x

Combine like terms: 3x + 7x = 10x
-2 + 10x = 8 + -7x + 7x

Combine like terms: -7x + 7x = 0
-2 + 10x = 8 + 0
-2 + 10x = 8

Add '2' to each side of the equation.
-2 + 2 + 10x = 8 + 2

Combine like terms: -2 + 2 = 0
0 + 10x = 8 + 2
10x = 8 + 2

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

Divide each side by '10'.
x = 1

Simplifying
x = 1

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