(-7x+2)-(-6x-5)=3

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Solution for (-7x+2)-(-6x-5)=3 equation:


Simplifying
(-7x + 2) + -1(-6x + -5) = 3

Reorder the terms:
(2 + -7x) + -1(-6x + -5) = 3

Remove parenthesis around (2 + -7x)
2 + -7x + -1(-6x + -5) = 3

Reorder the terms:
2 + -7x + -1(-5 + -6x) = 3
2 + -7x + (-5 * -1 + -6x * -1) = 3
2 + -7x + (5 + 6x) = 3

Reorder the terms:
2 + 5 + -7x + 6x = 3

Combine like terms: 2 + 5 = 7
7 + -7x + 6x = 3

Combine like terms: -7x + 6x = -1x
7 + -1x = 3

Solving
7 + -1x = 3

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 3 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 3 + -7
-1x = 3 + -7

Combine like terms: 3 + -7 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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