2x+7=3x-(6x-2)

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Solution for 2x+7=3x-(6x-2) equation:


Simplifying
2x + 7 = 3x + -1(6x + -2)

Reorder the terms:
7 + 2x = 3x + -1(6x + -2)

Reorder the terms:
7 + 2x = 3x + -1(-2 + 6x)
7 + 2x = 3x + (-2 * -1 + 6x * -1)
7 + 2x = 3x + (2 + -6x)

Reorder the terms:
7 + 2x = 2 + 3x + -6x

Combine like terms: 3x + -6x = -3x
7 + 2x = 2 + -3x

Solving
7 + 2x = 2 + -3x

Solving for variable 'x'.

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

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

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

Combine like terms: -3x + 3x = 0
7 + 5x = 2 + 0
7 + 5x = 2

Add '-7' to each side of the equation.
7 + -7 + 5x = 2 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 2 + -7
5x = 2 + -7

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

Divide each side by '5'.
x = -1

Simplifying
x = -1

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