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

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


Simplifying
2 + -1x = -6(6 + -5x) + 7x
2 + -1x = (6 * -6 + -5x * -6) + 7x
2 + -1x = (-36 + 30x) + 7x

Combine like terms: 30x + 7x = 37x
2 + -1x = -36 + 37x

Solving
2 + -1x = -36 + 37x

Solving for variable 'x'.

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

Add '-37x' to each side of the equation.
2 + -1x + -37x = -36 + 37x + -37x

Combine like terms: -1x + -37x = -38x
2 + -38x = -36 + 37x + -37x

Combine like terms: 37x + -37x = 0
2 + -38x = -36 + 0
2 + -38x = -36

Add '-2' to each side of the equation.
2 + -2 + -38x = -36 + -2

Combine like terms: 2 + -2 = 0
0 + -38x = -36 + -2
-38x = -36 + -2

Combine like terms: -36 + -2 = -38
-38x = -38

Divide each side by '-38'.
x = 1

Simplifying
x = 1

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