5x+(2-6x)=6x-(2x+7)

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Solution for 5x+(2-6x)=6x-(2x+7) equation:


Simplifying
5x + (2 + -6x) = 6x + -1(2x + 7)

Remove parenthesis around (2 + -6x)
5x + 2 + -6x = 6x + -1(2x + 7)

Reorder the terms:
2 + 5x + -6x = 6x + -1(2x + 7)

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

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

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

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

Solving
2 + -1x = -7 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2 + -1x + -4x = -7 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
2 + -5x = -7 + 0
2 + -5x = -7

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

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

Combine like terms: -7 + -2 = -9
-5x = -9

Divide each side by '-5'.
x = 1.8

Simplifying
x = 1.8

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