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

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


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

Reorder the terms:
2(-2 + 3x) + -7x = 5x + 2
(-2 * 2 + 3x * 2) + -7x = 5x + 2
(-4 + 6x) + -7x = 5x + 2

Combine like terms: 6x + -7x = -1x
-4 + -1x = 5x + 2

Reorder the terms:
-4 + -1x = 2 + 5x

Solving
-4 + -1x = 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.
-4 + -1x + -5x = 2 + 5x + -5x

Combine like terms: -1x + -5x = -6x
-4 + -6x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
-4 + -6x = 2 + 0
-4 + -6x = 2

Add '4' to each side of the equation.
-4 + 4 + -6x = 2 + 4

Combine like terms: -4 + 4 = 0
0 + -6x = 2 + 4
-6x = 2 + 4

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

Divide each side by '-6'.
x = -1

Simplifying
x = -1

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